### Home > MC2 > Chapter 6 > Lesson 6.2.3 > Problem 6-101

6-101.

Find the area of each shaded sector (region) in the circles below. Note that the smaller angles in parts (a) and (c) are

A circle has a total measure of

. To find the area of the shaded sector, you must find the fraction of the circle that is shaded. If the smaller angle of the non-shaded area is

, the shaded portion's angle must be . as a portion of This portion represents the fraction of the area that the shaded sector represents in the circle.

The area of a circle is.

Substituting inft for the radius, we get about ft for the total area of the circle.of ft about ft

b.

See part (a).

ft