   Chapter 8.CR, Problem 30CR 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

Find the exact areas of the shaded regions in Exercises 27 to 31. Two ≅ tangent circles, inscribed in a rectangle.

To determine

To find:

The exact areas of the shaded regions.

Explanation

Calculation:

Consider the two tangent circles are shown below:

The above two tangent circles inscribed in a rectangle are congruent.

That is radius and areas of the two circles are same.

Area of the first circle A=πr2

Radius (r) = 6

A=π(6)2=36π

The total area of the two circles = Area of the first circle + Area of the second circle

=36π+36π=72π

To find the area of the rectangle:

The area A of a rectangle whose base has length b and whose altitude has length h is given by

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