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    Question

    The circumference of two circles are 132 cm and 88 cm

    respectively. What is the difference between the area of the larger circle and the smaller circle?
    A 570 Correct Answer Incorrect Answer
    B 670 Correct Answer Incorrect Answer
    C 770 Correct Answer Incorrect Answer
    D 870 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Circumference of larger circle = 2πr 132 = 2 × 22/7 × r r = (132 × 7)/(22 × 2) = 21 cm. Area of a larger circle = πr² = 22/7 × 21 × 21 = 1386 cm. Circumference of smaller circle = 2πr 88 = 2 × 22/7 × r r = (88 × 7)/(22 ×2) = 14 cm. Area of a smaller circle = πr² = 22/7 × 14 × 14 = 616 cm. ∴ Required difference = 1386 – 616 = 770 cm.

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