   Chapter 8.4, Problem 26E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In exercises 23-26, find the exact areas of the shaded regions. Regular hexagon inscribed in a circle

To determine

To Find:

The areas of the shaded region of the circle.

Explanation

To find the area of the shaded region of the circle, find the area of the circle and hexagon and then subtract the area of the hexagon from the area of the circle.

It is given that the radius of the hexagon is 6 cm.

The radius of the hexagon is equal to the side length.

The area of the hexagon is A=332s2.

Therefore, A=332(6)2=93.53.

The area of the hexagon is 93.53 cm2.

Next, find the area of the circle.

The radius of the circle is 6 cm

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