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20 August, 00:39

Find the area of a 120° sector of a circle whose radius is 6.

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  1. 20 August, 01:47
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    First, determine the area of the whole circle by the equation, A = πr². Substituting,

    A = π (6²) = 36π

    Then, multiply this value with the ratio of the given angle to the whole revolution,

    A (sector) = 36π x (120° / 360°)

    The area of the sector is therefore 12π units².
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