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21 November, 12:08

The radius of a circle measures 7 inches. A central angle of the circle measuring 4π/15 radians cuts off a sector. What is the area of the sector? Enter your answer, as a simplified fraction, in the box.

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  1. 21 November, 12:37
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    Step-by-step explanation:

    Radius = 7 inches

    Angle of sector = 4pi/15

    convert to degree = 4pi/15 * 180/pi = 48°

    Area of sector = angle of sector / angle of circle * pi * r²

    = 48/360 * 22/7 * 7²

    = 20 ⁸/15 inches²
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