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    Question

    Calculate the area of a sector of a circle having a radius

    of 21 cm, if the angle at the center made by the sector is 60°.
    A 218 cm² Correct Answer Incorrect Answer
    B 320 cm² Correct Answer Incorrect Answer
    C 215 cm² Correct Answer Incorrect Answer
    D 231 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Area of sector = (A/360) × π × radius² (Here 'A' is the angle subtended by sector at centre)

    So, required area = (60/360) × (22/7) × 21²

    = (1/6) × (22/7) × 441

    = 231 cm²

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