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    Question

    The length of the each side of an equilateral triangle

    is 7√3. The area of incircle, (cm 2 ) is
    A 154 cm² Correct Answer Incorrect Answer
    B 38.5 cm² Correct Answer Incorrect Answer
    C 1936 cm² Correct Answer Incorrect Answer
    D 962.5 cm² Correct Answer Incorrect Answer

    Solution

    Area of incircle of a ∆ = πr 2   =π(a/(2√3)) 2 = π((7√3)/(2√3)) 2     =π × (7/2)2   =(22/7) × 7/2 × 7/2  = 38.5 cm2

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