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Home > MC2 > Chapter 6 > Lesson 6.2.3 > Problem 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 angles.

  1. 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 in ft for the radius, we get about ft for the total area of the circle.

     of  ft about  ft


See part (a).

  1. ft