   Chapter 8.CR, Problem 28CR 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. To determine

To find:

The exact areas of the shaded regions.

Explanation

Calculation:

Sketch the following diagram:

The area of right angle triangle A=12bh

To find height:

The given triangle is 30-60-90-degree right triangle.

Long leg of the triangle = short leg ×3

To find short leg (a) of the triangle:

2a=142a2=142a=7

Long leg of the triangle (a3) = 73

Height (h) = 73 and base (b) = 7

To find the area of semi-circle:

Radius (r) = OC = 7

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