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    Question

    Calculate the area of a circle whose radius is (7/8)ᵗʰ

    of the side of a square whose area measures 1,600 cm². (Take π = 3.14)
    A 3,546.5 cm² Correct Answer Incorrect Answer
    B 2,846.5 cm² Correct Answer Incorrect Answer
    C 3,846.5 cm² Correct Answer Incorrect Answer
    D 3,806.5 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Area of square = side²

    So, side² = 1,600

    Or, side = ±40

    But side cannot be negative. So, side = 40 cm

    Radius of circle = (7/8) × 40 = 35 cm

    Area of circle = π × radius²

    Therefore, required area = (3.14) × 35² = 3,846.5 cm²

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