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    Question

    A circle has a radius of 15 cm, and a chord subtends a

    central angle of 60┬░ at the center. Find the area of the segment formed by the chord.
    A 20.325 cm┬▓ Correct Answer Incorrect Answer
    B 30.50 cm┬▓ Correct Answer Incorrect Answer
    C 24.725 cm┬▓ Correct Answer Incorrect Answer
    D 40.75 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Area of sector = (╬╕/360) ├Ч ╧Аr┬▓ = (60/360) ├Ч ╧А(15)┬▓ = (1/6) ├Ч ╧А(225) = 117.75 cm┬▓. Area of triangle = (1/2) ├Ч base ├Ч height = (1/2) ├Ч 15 ├Ч (15 ├Ч тИЪ3 / 2) = 97.425 cm┬▓. Area of segment = 117.75 тАУ 97.425 = 20.325 cm┬▓.

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