Find the area of sector TOP in ⊙ O circle dot o  using the given information. Leave your answer in terms of π . pi .

19. r = 5   m , m T P ⌢ = 90 r equals 5 m comma . m , modified t p with frown above . equals 90
20. r = 6    ft , m T P ⌢ = 15 r equals 6 ft comma . m , modified t p with frown above . equals 15
21. d = 16   in. , m P T ⌢ = 135 d equals 16 in. comma . m , modified p t with frown above . equals 135
22. d = 15 cm , m P O T ⌢ = 180 d equals 15 cm comma m . modified p o t with frown above . equals 180

See Problem 3.

Find the area of each shaded segment. Round your answer to the nearest tenth.

B Apply

Find the area of the shaded region. Leave your answer in terms of π pi  and in simplest radical form.

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32. Transportation A town provides bus transportation to students living beyond 2 mi of the high school. What area of the town does not have the bus service? Round to the nearest tenth.
33. Design A homeowner wants to build a circular patio. If the diameter of the patio is 20 ft, what is its area to the nearest whole number?
34. Think About a Plan A circular mirror is 24 in. wide and has a 4-in. frame around it. What is the area of the frame?
    • How can you draw a diagram to help solve the problem?
    • What part of a circle is the width?
    • Is there more than one area to consider?
35. Industrial Design Refer to the diagram of the regular hexagonal nut. What is the area of the hexagonal face to the nearest millimeter?

    

36. Reasoning A B ¯ eh b bar  and C D ¯ c d bar  are diameters of ⊙ O . circle dot o .  Is the area of sector AOC equal to the area of sector BOD? Explain.
37. A circle with radius 12 mm is divided into 20 sectors of equal area. What is the area of one sector to the nearest tenth?

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