   Chapter 8.5, Problem 20E 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 approximate area of the sector shown. Answer to the nearest hundredth of a square inch. To determine

To find:

The approximate area of the sector.

Explanation

Formula:

Area of sector:

If r is the radius of the circle, the area A of a sector whose arc has degree measure m is given by

A=m360×πr2

Calculation:

From the diagram it is clear that radius of the circle is 9 in.

The measure of central angle is given as 800.

As per the definition of measure of an arc, the degree measure of an arc is equal to the central angle intercepted by it.

Thus, the degree measure of arc =800. Hence, m=800

Area of sector:

The formula for area A of sector is:A=m360×πr2

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