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1 April, 13:49

What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120

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  1. 1 April, 14:47
    0
    27π cm²

    Step-by-step explanation:

    step 1

    Find the area of the complete circle

    The area of the circle is equal to

    A=πr²

    we have

    r=9 cm

    substitute

    A=π (9) ²=81π cm²

    step 2

    Remember that the area of complete circle subtends a central angle of 360°

    so

    using proportion

    Find the area of a sector formed by a central angle that measures 120°

    81π/360°=x/120°

    x=120°*81π/360°

    x=27π cm²
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