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

6-52.

Refer to Problem 6-41 for help.

The radius is half the diameter.

Therefore the radius is 1.5 feet. Now use the equation for the area of a circle: A=r2π

Substitute 1.5 for r.
A=(1.5)2π

The area of the entire circle is approximately 7 square feet. Since only half of the circle is shaded, we must divide the total area by 2.

3.5 square feet

Find the area of the circle, then divide it by 4 since
only one-fourth of the circle is shaded.