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14 September, 03:14

Find the area of the shaded region Gh = 13yd

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  1. 14 September, 03:32
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    area ≈ 344. 93 yard²

    Step-by-step explanation:

    The question you are asking is a circle with shaded portion and a portion not shaded. The radius of the circle is given as 13 yards. H is the center of the circle and unshaded part of the the sector has an angle of 126°.

    The area of a sector = ∅/360 * πr²

    The other angle of the shaded portion is unknown. To find the angle we subtract 126° from 360° (complete angle).

    360 - 126 = 234°

    area of a sector = ∅/360 * πr²

    where

    ∅ = 234°

    r = 13 yards

    area = 234/360 * π * 13²

    area = 234/360 * π * 169

    area = 39546π/360

    area = 109.85π

    area = 109.85 * 3.14

    area of the shaded part = 344.929 yard²

    nearest hundred will be

    area ≈ 344. 93 yard²
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