The semicircle shown at left has center X and diameter WZ. The radius XY of the semicircle has length 2. The chord YZ has length 2. What is

Question

The semicircle shown at left has center X and diameter WZ. The radius XY of the semicircle has length 2. The chord YZ has length 2. What is the area of the shaded sector formed by obtuse angle WXY

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Ngọc Hoa 5 years 2021-08-04T16:23:12+00:00 1 Answers 533 views 1

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  1. Nick
    0
    2021-08-04T16:25:05+00:00
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    Answer:

    4π/3 square units

    Step-by-step explanation:

    Triangle XYZ is equilateral,

    The central angle of the sector is 120°, or 2π/3 radians.

    The area of a sector of central angle β is given by

    .. A = (1/2)r^2*β . . . . . . β in radians

    .. A = (1/2)*2^2*(2π/3) = 4π/3 square units

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