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25 December, 08:38

A circle has an 18-inch radius and a shaded sector with a central angle of 50°. Determine the area of the shaded sector.

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  1. 25 December, 09:23
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    Area of shaded region is 141.3 square inches

    Step-by-step explanation:

    It is given that,

    A circle has an 18-inch radius and a shaded sector with a central angle of 50°

    Area of circle = πr²

    To find the area of circle

    Area of circle = πr² = 3.14*18² = 3.14 * 18 * 18

    Area = 1017.36 square inches

    To find the part of shaded region

    central angle of shaded region is 50°.

    part of sector = 50/360 = 5/36

    To find the area of shaded region

    area of shaded region is 5/36th of total area of circle

    Area of shaded region = 5/36 (1017.36) = 141.3 square inches
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