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2 April, 06:12

Find the of the shaded segment of a circle with radius 10 cm and central angle 30 degrees

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  1. 2 April, 06:35
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    25/3 pi cm^2

    26.18 cm^2

    Step-by-step explanation:

    The area of a circle is

    A = pi r^2

    We are taking a sector that is 30 degrees. Since a circle is 360 degrees

    The fractional part of the circle is 30/360

    Multiply the fraction by the area to find the shaded area

    sector area = 30/360 * pi (10) ^2

    =1/12 * pi * 100

    =25/3 * pi is the exact answer

    or approximately 26.18 cm^2
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