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.