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    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 Ο€ = 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 = (Ο€ Γ— radius) + (2 Γ— radius) = {(22/7) + 2} Γ— radius Or, (36/7)Γ— radius = 108 Or, radius = 108 Γ— (7/36) So, radius = 21 cm So, area of the circle with same radius = Ο€ Γ— radius2 = (22/7) Γ— 21 Γ— 21 = 1386 cm2

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