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


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

Refer to Problem 6-41 for help.

  1. 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

  1. The radius is ft.

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