   Chapter 8.5, Problem 4E 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

For the semicircular region of Exercise 3, the length of the radius is r.a) Find an expression for the perimeter of the region.b) Find an expression for the area of the region. To determine

a. To find:

An expression for the perimeter of the region.

Explanation

Semicircle is one half of the circle.

Since the semicircular region corresponds to a central angle of 1800, the perimeter of semicircle is one half of the circumference of the circle.

If r is the radius of circle,

Psemicircle=12× Circumference of circle =

To determine

b. To find:

An expression for area of the region.

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