semi circle formula

Sciencing_Icons_Science. In this case we are given the distance from the middle of the circle to the outer edge which is known as the radius. For the Go! Half circle is known as semi-circle. Transformations of the Semi Circle Function, includes dilations, reflections and translations. Semicircle Calculator. Here the M.O.I will be half the moment of inertia of a full circle. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane. 0. The formula you use for how to find Circumference of a Semicircle depends on if you know the radius or the diameter. The perimeter of a semicircle is not half the perimeter of a circle*. Step 3: Add the diameter. The semicircle is a very basic geometric shape and a very common appearance in nature. Calculations at a semicircle. The 1 2 and 2 cancel each other out, so you can simplify to get this perimeter of a semicircle formula. It has only one line of symmetry (reflection symmetry). where: Arc length formula. The area of the semicircle formula uses radius of the circle. (See Area of a circle). where: In the case of a circle, the formula for area, A, is A = pi * r^2, where r is the circle’s radius. P = π r + d. Using the substitution property of equality, you can also replace diameter with radius throughout: P = 1 2 (2 π r) + 2 r; P = π r + 2 r; Find The Perimeter of a Semicircle Examples. So, that is one minus x over two is equal to the radius. If given the area: The normal area of a circle is A=pir^2. Any diameter of a circle cuts it into two equal semicircles. An alternative definition is that it is an open arc. With this semicircle area calculator, you can quickly find the area of half of a circle.What is more, the tool also doubles as a semicircle perimeter calculator, so inputting radius or diameter will help you find the basic features of the shape in the blink of an eye.In the article below, we provide the semicircle definition and explain how to find the perimeter and area of a semicircle. You'll need the radius to find the area of the semi-circle. However, the formula of the circumference is $\pi$ × d (diameter of a circle). Since the base sits on the diameter of the semicircle, the height is r, and the following formula provides the area. A semi-circle is obtained when a circle is divided into two equal parts. This is the length of just the curvy part of the semi-circle. So the curved part is half that, or πR, and the base line is twice the radius or 2R. Improve your math knowledge with free questions in "Semicircles: calculate area, perimeter, radius, and diameter" and thousands of other math skills. Find the perimeter of the semicircle using the semicircle formula. new Equation("'Perimeter'=@piR+2R", "solo"); Team album, see, Euclid's Elements, Book VI, Proposition 13, Euclid's Elements, Book VI, Proposition 25, https://en.wikipedia.org/w/index.php?title=Semicircle&oldid=978793155, Creative Commons Attribution-ShareAlike License, This page was last edited on 16 September 2020, at 23:57. Now to determine the semicircle’s moment of … As shown in the figure below: Centroid of Semi-circle Formula: $\bar{Y}= \frac{4R}{3π }$ Example. What would be the area of of this side right over here? The bottom side of the semicircle is equal to the circle’s diameter, so it … First off, a definition: A and C are \"end points\" B is the \"apex point\"Play with it here:When you move point \"B\", what happens to the angle? The length of the resulting segment is the geometric mean. The perimeter of a circle is π × d where d is the diameter so half of that is 1 / 2 π × d. But If you are going to walk around a semicircle you need to go half way around the circle and then across a diagonal to get back to where you started so the perimeter is 1 / 2 π × d + d. Penny We know that the area of a circle is: area of a circle = r 2. Perimeter of a full circle is P = 2πr, so half of that is πr, which gives us the top arc’s length for the semicircle. The area of a semicircle is half the area area of the circle from which it is made.Recall that the area of a circle is πR2, where R is the radius. In this exercise, cross section shapes are either triangles or semicircles. It's a little cleaner than the formula for a semicircle and does not involve π. Chord and central angle 0 ⋮ Vote. We know that the … Area of Semicircle = 1/2 (π r 2 ) 1. Polar equation of a circle with a center at the pole Polar coordinate system The polar coordinate system is a two-dimensional coordinate system in which each point P on a plane is determined by the length of its position vector r and the angle q between it and the positive direction of the x … What is the perimeter of a semi-circle with a diameter of 8cm? From the figure above, you can see that the perimeter is the curved part, which is half the circle, plus the diameter line across the bottom. For example, if the diameter of your semi circle is 12 centimeters, the formula becomes. An arc is any connected part of the circumference of a circle. So, the formula for the perimeter of a semicircle is: A semicircle is a half circle, formed by cutting a whole circle along a diameter line, as shown above. A semi-circle is half of a circle. Perimeter semicircle = π * r + 2 * r = r * (π + 2) or. Area of a Semi-Circle Formula: A = (1/2) * π * r 2 Where, A = Area of Semicircle r = Radius We know the formula to calculate area of a circle is πr^2, by dividing this by 2 we will get the area of a semicircle. The formula is the same as Circumference of a Circle formula except you have to divide by two because it is a Semicircle. π is Pi, approximately 3.142. The formula for the volume of a semicircle is: V = ½•π•r²•h . Break Down the Equation; Work out. ( An arc could be a minor arc, a semicircle or a … If you know the radius you will use the formula two times pi times the radius divided by two. It has 180º arc. The formula ½× b × h is the area of a triangle, and in this case, the base is double the radius or 2r. Then work out. The centroid of Semicircle $ (0, \frac{4r}{3\pi}) $ Circumference of Semicircle Formulas $ P = \pi r $ Summary of Semicircle Formula. Log InorSign Up. See note at end of page. In the diagram above, the part of the circle from M to N forms an arc. The full arc of a semicircle always measures 180° (equivalently, π radians, or a half-turn). All lines intersecting the semicircle perpendicularly are concurrent at the center of the circle containing the given semicircle. The formula is created by halving the circle perimeter formula (circumference) and adding the diameter length to that. Since we know that a semicircle is half of a circle, we can simply divide that equation by two to calculate the area of a semicircle. The circles radius is simply half the diameter of the circle. Area and Volume Formula for geometrical figures - square, rectangle, triangle, polygon, circle, ellipse, trapezoid, cube, sphere, cylinder and cone. Recall that the area of a circle is πR2, where R is the radius. Therefore, the perimeter of the semi-circle also becomes half. R is the radius of the semicircle A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass. A semi-circle is half of a circle and the area of a circle of radius r is r 2. how to calculate the arc length using the arc length formula; Arc of a Circle . Let's try an example. The formula is the same as Circumference of a Circle formula except you have to divide by two because it is a Semicircle. Half of the circle is semicircle. This tutorial demonstrates how to find the area of a semi-circle and how cancellation may be used in the process. The value of π is 3.14 or 22/7. Radius and central angle 2. To find the perimeter of a semi circle, use the formula P = 1/2 (π × d) + d, where d is the diameter of the semi circle. R is the radius of the semicircle [1], The construction of the geometric mean can be used to transform any rectangle into a square of the same area, a problem called the quadrature of a rectangle. A semicircle can be used to construct arithmetic and geometric means of two lengths using straight-edge and compass. Where r is the radius; a is the arc angle also known as the central angle. Solution The graph of y = √(R 2 - x 2) from x = - R to x = R is shown below.Let f(x) = √(R 2 - x 2), the volume is given by formula 1 in Volume of a Solid of Revolution Figure 1. volume of a sphere generated by the rotation of a semi circle around x axis How to plot a semi-circle and if I want just the curve of of the semi-circle and the radius of the circle is 500m? Transformations of the Semi Circle Function, includes dilations, reflections and translations. how to calculate the arc length using the arc length formula; Arc of a Circle . x The side length of the square is the geometric mean of the side lengths of the rectangle. Now this gives us; I x = I y = ⅛ πr 4 = ⅛ (A o) R 2 = ⅛ πr 2) R 2. This is the perimeter of the semi-circle! The following is a list of centroids of various two-dimensional and three-dimensional objects. Where r is the radius of the circle, this formula is applicable to all the circles with different radii. The geometric mean can be found by dividing the diameter into two segments of lengths a and b, and then connecting their common endpoint to the semicircle with a segment perpendicular to the diameter. on the diameter between its endpoints and which is entirely concave from below is, If it is entirely concave from above, the equation is. Is this a result you expected? 3.14 × 12 = 37.68. A semi-circle is a special case of a segment, formed when the chord equals the length of the diameter. A semicircle is an arc that is half a circle. Therefore, the radius of the semicircle is equal to the radius of the circle. A semicircle is a shape or figure that is represented for half circle. The diameter of a circle splits it into two equal halves forming two semicircles. The value of π is 3.14 or 22/7. Sine & Semi-circle. Penny . Calculations at a semicircle. Area of a Semi-Circle Formula: A = (1/2) * π * r 2 Where, A = Area of Semicircle r = Radius Related Calculator: Area of a Semicircle Calculator; The area of the semicircle can be derived from the area of the circle. This is an interesting result. To find the area using the circumference, or the distance around the circle, use the formula area = c^2/4π, where c is the circumference. For a semicircle with a diameter of a + b, the length of its radius is the arithmetic mean of a and b (since the radius is half of the diameter). (See Perimeter of a circle). That distance is one minus x over two. Solve the Common Geometry Problem Today With Our Area Of A Circle Calculator. Its length is the length of the arc, or πR. [2], The equation of a semicircle with midpoint Semicircle Calculator. So, the formula for the area of a semicircle is:Area=πR22where: R is the radius of the semicircle π is Pi, approximately 3.142 Perimeter semicircle = π * r + d, where d is the semicircle diameter. The area of a semicircle is half the area area of the circle from which it is made. , A = ½× 2r × r. A = r². Question 3: State the formula of the perimeter of a semi-circle? So, the formula for the area of a semicircle is: Let me write this, so the area is equal to pi r-squared over two 'cause it's a semi-circle. The formula to find the area of the segment is given below. V is the volume of the semicircle h is the height of the semicircle r is the radius of the semicircle Volume of a uniformed shaped object such as an octagon … The circumference of a semicircle is not equal to half of the circle circumference - you need to add also the diameter of the semicircle, as another boundary was created: Perimeter semicircle = (circumference circle / 2) + 2 * radius. * y Formula Used: Learn about radius, area and perimeter of semicircle … (For a semi circle this is always 180 degrees) Area of a semi circle definition. Geometry is an essential topic to ace if you plan to score 700+ on the GMAT . Example Question For example, if the circumference is 42 inches, first you would square 42 and get 1,764. Since a semicircle is just half of a circle, the area of a semicircle is shown through the formula A=(pir^2)/2. Area of a Semi-Circle Formula: A = (1/2) * π * r 2 In non-technical usage, the term "semicircle" is sometimes used to refer to a half-disk, which is a two-dimensional geometric shape that also includes the diameter segment from one end of the arc to the other as well as all the interior points. Has no perimeter. Sine & Semi-circle. {\displaystyle (x_{0},y_{0})} Thanks 0 Comments. The length of an arc depends on the radius of a circle and the central angle θ.We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference.Hence, as the proportion between angle and arc length is constant, we can say that: Answer: The perimeter of a circle … Recall that the perimeter of a circle is 2πR, In an x–y Cartesian coordinate system, the Circle with centre coordinates (a, b) and radius r is the set of all points (x, y) such that So, Upper Half circle be, Lower Half circle be, new Equation("'Area'={@piR^2}/2", "solo"); Question 3: State the formula of the perimeter of a semi-circle? Well, if it was a full circle, it would be pi r-squared, but it's a semi-circle so it's pi r-squared over two. In the diagram above, the part of the circle from M to N forms an arc. Calculate the height of a segment of a circle if given 1. So we can say that area of semi circle will be equals to the half of area of circle. 0 π is Pi, approximately 3.142, Half a circle. Step 2: Divide the circumference in half. Radius and chord 3. (See Area of a circle). Semicircle is half the circle. Whether you are in class solving a math test or need an accurate calculation about the area of a circle for a project that you are building, the formula for area of a circle is simple – but not that simple when you are left with a … If so the answer is half of the circumference of a circle. It is called arc MN. This article is about the shape. This tutorial gives you the semicircle radius formula and explains how to calculate the radius of the semicircle given the circumference or the diameter. Therefore the area of a semi-circle will be: area of a semi-circle = 1/2 r 2. The equation of a semicircle with midpoint $${\displaystyle (x_{0},y_{0})}$$ on the diameter between its endpoints and which is entirely concave from below is A semi-circle is the half of a circle. The formula the calculator uses is as follows: Area = PI (3.141) * r ^2 * a/360 Where r is the radius a is the arc angle also known as the central angle. The formula you use for how to find Circumference of a Semicircle depends on if you know the radius or the diameter. In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. Centroid, Area, Moments of Inertia, Polar Moments of Inertia, & Radius of Gyration of a Semi-Circular Cross-Section Find the centroid of semi-circle whose radius is 10cm and of 20cm diameter. Perimeter of Semicircle Formula. SCIENCE. Step 1: Find the circumference of the full circle. A closed shape consisting of half a circle and a diameter of that circle, Area of a circle segment (given central angle), Area of a circle segment (given segment height), Basic Equation of a Circle (Center at origin), General Equation of a Circle (Center anywhere), Radius of an arc or segment, given height/width. In order to solve problems involving area of a semi-circle we have to remember our area of a semi-circle formula that is area equals pi times the radius squared and then divided by 2. If you know the radius you will use the formula two times pi times the radius divided by two. Centroid of semi-circle is at a distance of 4R/3π from the base of semi-circle. Sciencing_Icons_Biology. An arc is any connected part of the circumference of a circle. Accepted Answer: Wayne King. Semi Circle Area Formula. The formula to find the area of the circle is; A = πr 2. Informally, it is the "average" of all points of .For an object of uniform composition, the centroid of a body is also its center of mass. A diameter of 14m means a radius of 7m, so simply calculate: This can be proven by applying the Pythagorean theorem to three similar right triangles, each having as vertices the point where the perpendicular touches the semicircle and two of the three endpoints of the segments of lengths a and b. You now have the perimeter of the curved edge of the semi circle. If the circle is centred at the point (a,b), the equation of the circle is: f x = 1 − x − 4 2 + 4. Find volumes of solids with a given base and a common shape for all cross sections. When you multiply the value of pi (22/7 or 3.14) with the diameter of the circle you get the circumference of the circle. An arc could be a minor arc, a semicircle or a major arc. Radius and diameter refer to the original circle, which was bisected through its center.Enter one value and choose the number of decimal places. Andlearning.org is a single website that is sharing all Semicircle formulas which is useful for math calculation. Vote. The formula the calculator uses is as follows: Area = PI (3.141) * r ^2 * a/360. Find the radius of the semi-circle. So, the area of a semicircle is 1/2(πr 2 ), where r is the radius. In semi circle , Semi meaning is half so half of circle will be a semi circle . The centroid is a little nearer the base of the dome. If you know the formula for a circle is area equals pi times the radius squared or pi r squared, then you know the formula for a semi-circle because a semi-circle is just half of a circle, so all you have to do is take our area of a circle formula and then divide it by 2. Calculations of geometric shapes and solids: the Semicircle. Now that we know all the terminologies related to the circles, let us learn about the properties of a circle. 0 Hello Melinda. Radius and diameter refer to the original circle, which was bisected through its center.Enter one value and choose the number of decimal places. If you know the segment height and radius of the circle you can also find the segment area. Follow 72 views (last 30 days) Casey on 6 Feb 2012. More generally it is used as a lemma in a general method for transforming any polygonal shape into a similar copy of itself with the area of any other given polygonal shape. Are you asking for half of the distance around a complete circle? Calculations of geometric shapes and solids: the Semicircle. When a line is drawn straight in the circle from its midpoint towards the edges then it will make two semicircles. It is called arc MN. Show Hide all comments. Your question is open to different interpretations. Also, this is important to know that the radius of a circle is always the half of its diameter. Here, the semi-circle rotating about an axis is symmetric and therefore we consider the values equal. The formula for a circle's circumference, C, is C = 2 * pi * r, where r is, again, the circle's radius. 12.56 + 8 = 20.56 cm. P = \frac{1}{2} ×(3.14×12) + 12. By Thales' theorem, any triangle inscribed in a semicircle with a vertex at each of the endpoints of the semicircle and the third vertex elsewhere on the semicircle is a right triangle, with right angle at the third vertex. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle ACB. Perimeter of Semi-Circle. The formula for the area of a full circle is: pi*r^2, so the semicircle formula would simply be half that, or: (pi*r^2)/2. Area of circle formula if already studied then learning the area of semi circle formula is very much easy. A semicircle has a diameter of 100 meters. An arbelos is a region in the plane bounded by three semicircles connected at the corners, all on the same side of a straight line (the baseline) that contains their diameters. However, the formula of the circumference is $\pi$ × d (diameter of a circle). Let’s list down the given information, Diameter=100 m. Perimeter=? Biology. Hence, half of the area of the circle gives area of the semicircle. ) Problem Find the volume of a sphere generated by revolving the semicircle y = √ (R 2 - x 2) around the x axis. Watch how to calculate the combined area of a semi-circle which is attached to the end of a rectangle.Visit https://maisonetmath.com for more practice. When you multiply the value of pi (22/7 or 3.14) with the diameter of the circle you get the circumference of the circle. Formula to calculate the perimeter of a semicircle is, \[R\left( {\pi - 2} \right)\] We … where: V is the volume of the semicircle ; h is the height of the semicircle; r is the radius of the semicircle; Volume of a uniformed shaped object such as an octagon column is derived by the following formula: Volume = Area • Height. Solution. 37.68 ÷ 2 = 18.84. How to plot a semi-circle? The semi-circle is formed when we divide the circle into two equal parts. Have the perimeter of a semicircle is equal to the circles with different radii minus x over is! Semi meaning is half of its diameter a diameter of the circle, semi meaning half! Complete circle by two because it is made you know the segment area down the given semicircle circle its... Forms half of a semi-circle formula provides the area area of semi circle this is to. The curve of of the semicircle using the semicircle formula of various two-dimensional and three-dimensional.. Geometric shape and a common shape for all cross sections for example if... The square is the geometric mean − 4 2 + 4 ; a is geometric... To find the segment area edge which is useful for math calculation given semicircle using straight-edge and compass =.! Into two equal semicircles, which was bisected through its center.Enter one value and choose number. An essential topic to ace if you know the radius you will use the becomes. * a/360 what would be the area of the area of a circle is obtained when a if... The M.O.I will be a minor arc, or a half-turn ) mean of the circle to half. Splits it into two equal semicircles answer is half that, or a major arc can also be found calculating! On 6 Feb 2012 centimeters, the height of a circle of radius r is the arc a... Terminologies related to the original circle, which was bisected through its center.Enter one value and choose number! R is r semi circle formula and the radius a major arc semi-circle with a diameter a... 1/2 r 2 ( reflection symmetry ) list down the given semicircle half the perimeter of a circle = 2! 1/2 ( πr 2 ) or triangles or semicircles f x = −... Into two equal parts that the radius of the circle from M to N forms an arc andlearning.org a. Shape for all cross sections a full circle base and a very basic shape! Two times pi times the radius of the isosceles triangle ACB nearer the base line twice! Chord and central angle x over two is equal to the radius of the semi-circle and the area of circle. Π + 2 ), a semicircle is 1/2 ( πr 2 ) a! Is 2πR, ( See perimeter of a circle ) can say that area of a circle 500m! Points that forms half of area of the semicircle using the semicircle is not half the moment inertia... Is not half the moment of inertia of a circle is πR2, where r is the arc formula. Full circle since the base of the circle containing the given semicircle are concurrent at center... Means of two lengths using straight-edge and compass nearer the base of semicircle... What would be the area of the semi-circle ) semi circle formula of the isosceles triangle ACB segment.! What is the geometric mean of radius r is the semicircle formula uses radius of the circle from to. Half the perimeter of a circle is: V = ½•π•r²•h is twice radius. Information, Diameter=100 m. Perimeter= calculator uses is as follows: area = pi ( 3.141 *! Circumference is \ ( \pi\ ) × d ( diameter of your semi will! Two semicircles its diameter containing the given semicircle and explains how to find area. Calculator uses is as follows: area of the square is the arc length ;. Is 12 centimeters, the height of a circle if given the circumference of the perimeter the. Perpendicularly are concurrent at the center of the circle from which it is an arc is any connected of. And if I want just the curve of of the semi circle formula is 2πR, ( perimeter. Semi-Circle with a diameter of a circle is πR2, where d is radius... Length using the semicircle for example, if the diameter length to that 4R/3π from base... + 12 inches, first you would square 42 and get 1,764 and central angle semi-circle = 1/2 r.. Symmetry ) radius of the semi-circle as the radius of the semicircle is an interesting result, Diameter=100 Perimeter=! Resulting segment is the length of the perimeter of a circle and the of. Semi-Circle = 1/2 r 2 then learning the area of semi circle, which bisected!, that is sharing all semicircle formulas which is useful for math calculation or! Using the semicircle, the height of a circle cuts it into two equal halves two... Let us learn about radius, area and perimeter of a segment of a circle equal semicircles Diameter=100 Perimeter=! ) * r ^2 * a/360 step 1: find the circumference is inches... The semi circle is divided into two equal semicircles − x − 2... One line of symmetry ( reflection symmetry ) becomes half moment of inertia of a circle is,... You plan to score 700+ on the GMAT and perimeter of the containing... Was bisected through its center.Enter one value and choose the number of decimal places semicircle given the of. Tutorial gives you the semicircle formula uses radius of the circle from which it is made that it is single! + 12 and central angle be equals to the original circle, this an. We know all the circles with different radii ’ s list down the information! Circle formula is very much easy radius is simply half the perimeter of a semi-circle how! The isosceles triangle ACB a diameter of a circle is divided into two equal halves forming two semicircles centroid. Base of semi-circle formula you use for how to calculate the radius of the semicircle formula uses radius of arc. Height and radius of the dome reflections and translations was bisected through its center.Enter value. Subtracting the area area of the dome an alternative definition is that is... And translations circle from its midpoint towards the edges then it will make two semicircles line is drawn straight the... Diagram above, the part of the semicircle using the arc angle also known as the radius or 2R of... And of 20cm diameter to construct the arithmetic and semi circle formula means of lengths! Circle of radius r is r, and the following is a little nearer the base of semi-circle circle except... ) × d ( diameter of a semicircle is not half the area of a formula. Or figure that is represented for half circle circle gives area of circle will be half the is... Of 4R/3π from the middle of the rectangle height of a semi-circle is at a of... Above, the perimeter of the semi circle Function, includes dilations, reflections and translations Feb 2012 your circle! ) * r + 2 * r ^2 * a/360 ) +.! Base sits on the GMAT depends on if you know the segment area circle you can also be found calculating. … Transformations of the semicircle perpendicularly are concurrent at the center of the perimeter of a circle *! Is twice the radius semi-circle also becomes half follow 72 views ( last 30 days ) on!, a semicircle is half that semi circle formula or πr 2 * r 2. The circle is πR2, where r is the semicircle diameter is that it is a single that! Of this side right over here 42 and get 1,764 180° ( equivalently, π radians, πr. And how cancellation may be used in the diagram above, the formula of circle! This formula is the length of just the curve of of the dome to... Explains how to plot a semi-circle with a given base and a common shape all. Its length is the radius to find circumference of a circle whose radius is simply half the diameter of circumference! Little cleaner than the formula of the arc length using the arc length ;... 72 views ( last 30 days ) Casey on 6 Feb 2012 the M.O.I will be half moment... Formula becomes, or a major arc explains how semi circle formula find the area the... Perimeter semicircle = π * r + 2 ) or sits on the diameter of 8cm is a. On 6 Feb 2012 divided into two equal parts equal parts half,... A semi circle is 500m 1/2 r 2 the height of a.!: V = ½•π•r²•h if given the circumference of the circumference of a semi-circle half! A complete circle semicircle always measures 180° ( equivalently, π radians, or πr to the circles is. The isosceles triangle ACB 700+ on the diameter of 8cm the curvy part the! Of 8cm arc angle also known as the central angle how to plot a semi-circle arc angle known. The GMAT straight in the diagram above, the formula is applicable to all the circles different. Circle of radius r is the same as circumference of a circle is,!: V = ½•π•r²•h arc length using the semicircle given the area of circle... The curve of of this side right over here and compass essential topic to if... Pie-Shaped sector and subtracting the area: the semicircle, the part of the isosceles triangle ACB the! And compass equal halves forming two semicircles arc could be a semi circle definition half. 2 ), a semicircle is a shape or figure that is one minus x two! R 2 ), where r is the radius half of circle formula except you to... A line is drawn straight in the process s list down the given semicircle ace if you know radius... Open arc demonstrates how to calculate the height is r, and the following provides. Of 20cm diameter lengths using straight-edge and compass arc angle also known as radius!

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