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    Question

    The length of the each side of an equilateral triangle

    is 10.5 cm. The area of incircle, (cm 2 ) is
    A 115.5 cm² Correct Answer Incorrect Answer
    B 28.875 cm² Correct Answer Incorrect Answer
    C 205.33 cm² Correct Answer Incorrect Answer
    D 320.83 cm² Correct Answer Incorrect Answer

    Solution

    Area of incircle of a ∆ = πr 2   =π(a/(2√3)) 2 = π((10.5)/(2√3)) 2     =π × (10.5/2√3)2   =(22/7) × 110.25/12  = 28.75  cm2

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