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Angular measure: 2*pi/5 radians or 72 degrees.

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Length of arc: 2*r*pi/5 units or 144*r units, where r is the radius.

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Q: What is the measure of each arc of a circle that is circumscribed about a regular pentagon?
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The apothem of a regular pentagon is 10.8 centimeters what is the radius of the circumscribed circle?

The line joining the centre of the pentagon to any vertex is a radius of the circumscribed circle. The angle between such a line and the adjacent apothem is 360/10 = 36 degrees. If the radius is r, then we can now write: cos36 = 10.8/r So r = 10.8/cos36 = 13.350cm. to 3 decimal places.


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What is the measure of each arc of a circle that is circumference about a regular pentagon?

If the distance from the centre of the pentagon to a vertex is r cm then the length of the arc is 0.4*pi*r cm


The center of a circumscribed circle is called what?

the center of a circumscribed circle is called the focus.


A circle is inscribed in a regular pentagon whose sides are 12 cm. Find the area inside the pentagon and outside the circle?

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To circumscribed a circle about a triangle you use the?

To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.


What is the maximum number of intersections that a regular pentagon can have with a circle on a plane?

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A triangle has exactly one circumscribed circle.


Where is the center point of the pentagon inscribed in a circle?

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A regular decagon is inscribed in a circle find the measure of each minor arc?

The measure of an exterior angle of an equiangular pentagon is 72 degrees. An equiangular pentagon is a regular pentagon that has five equal sides and five equal angles. An interior angle of a pentagon is equal to 108 degrees.


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A polygon which has a circumscribed circle is called a cyclic polygon.All regular simple polygons, all triangles and all rectangles are cyclic.