### Home > MC2 > Chapter 6 > Lesson 6.1.5 > Problem 6-52

6-52.

Find the area of each shaded portion, called a sector, in the circles below.

Refer to Problem 6-41 for help.

The diameter is

feet. The radius is half the diameter.

Therefore the radius is

feet. Now use the equation for the area of a circle: Substitute

for .The area of the entire circle is approximately

square feet. Since only half of the circle is shaded, we must divide the total area by . square feet

The radius is

ft. Find the area of the circle, then divide it by

since only one-fourth of the circle is shaded.