The figure below shows a circle with radius 7.2 m surrounded by four equilateral triangles whose sides equal the diameter of the circle. Each single side of these triangles intersect at the circle’s center. Calculate the shaded area.

The figure below shows a circle with radius 7.2 m surrounded by four equilateral triangles whose sides equal the diameter of the circle. Each single side of these triangles intersect at the circle’s center. Calculate the shaded area.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 35CR

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Question

The figure below shows a circle with radius 7.2 m surrounded by four equilateral triangles whose
sides equal the diameter of the circle. Each single side of these triangles intersect at the
circle’s center. Calculate the shaded area.

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

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