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    Question

    Area of sector of a circle whose radius is 21 cm, is

    327.25 cm 2 . Find the angle subtend by arc at the center of circle. (Use π = 22/7)
    A 75° Correct Answer Incorrect Answer
    B 85° Correct Answer Incorrect Answer
    C 95° Correct Answer Incorrect Answer
    D 65° Correct Answer Incorrect Answer

    Solution

    Area of sector = (A/360) X π X radius 2 , where 'A' is the angle subtended by arc at the centre

    So, (A/360) X (22/7) X 21 2  = 327.25

    Or, (A/360) X 1,386 = 327.25

    Or, 'A' = 85

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