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    Question

    In a circle AB is diameter & C is a point on

    circumference such that AC = 8 cm & BC = 15 cm then find the area of circle ?
    A 420.25π cm² Correct Answer Incorrect Answer
    B 930.25π cm² Correct Answer Incorrect Answer
    C 1806.25π cm² Correct Answer Incorrect Answer
    D 72.25π cm² Correct Answer Incorrect Answer

    Solution

    As AB is diameter So Angle ACB = 90 degree ; Hence in right angle Δ ABC, AB 2 = AC 2 + BC 2 = 82 + 152 = 64 + 225 = 289 AB = 17 cm = 2R So R = 17/2 cm Hence, Area of circle = πR 2  = π (17/2) 2  = 72.25π cm 2  

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