Question

    The circumference of a semi-circle is 108 cm. What is

    the area of the circle with the same radius as the semi-circle? (Take π = 22/7)
    A 1056 sq cm Correct Answer Incorrect Answer
    B 1320 sq cm Correct Answer Incorrect Answer
    C 1386 sq cm Correct Answer Incorrect Answer
    D 1144 sq cm Correct Answer Incorrect Answer

    Solution

    Circumference of a semi-circle = (π × radius) + (2 × radius) = {(22/7) + 2} × radius Or, (36/7)× radius = 108 Or, radius = 108 × (7/36) So, radius = 21 cm So, area of the circle with same radius = π × radius2 = (22/7) × 21 × 21 = 1386 cm2

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