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    Question

    The length of a rectangle exceeds the radius of a circle

    by 3 cm. The perimeter of the rectangle is 72 cm, and the ratio of its length to breadth is 6:3. Find the difference between the area of the circle and the area of the rectangle.
    A 2264 cm┬▓ Correct Answer Incorrect Answer
    B 1098 cm┬▓ Correct Answer Incorrect Answer
    C 2335 cm┬▓ Correct Answer Incorrect Answer
    D 2465 cm┬▓ Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the length and breadth of the rectangle be 6a cm and 3a cm, respectively. Perimeter of the rectangle = 2 ├Ч (Length + Breadth) 72 = 2 ├Ч (6a + 3a) 72 = 2 ├Ч 9a 72 = 18a a = 4 Length of the rectangle = 6a = 6 ├Ч 4 = 24 cm Breadth of the rectangle = 3a = 3 ├Ч 4 = 12 cm The radius of the circle = 24 тИТ 3 = 21 cm Area of the circle = ╧Аr┬▓ = 22/7 ├Ч 21 ├Ч 21 = 1386 cm┬▓ Area of the rectangle = 24 ├Ч 12 = 288 cm┬▓ Required difference = 1386 тИТ 288 = 1098 cm┬▓

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