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    5. A square has an area of 2,500 cm². Find the area of a circle whose radius is (2/5)ᵗʰ of the leng

    Question

    A square has an area of 2,500 cm². Find the area of a

    circle whose radius is (2/5)ᵗʰ of the length of the square’s side. (Take π = 3.14)
    A 2,826 cm² Correct Answer Incorrect Answer
    B 1,026 cm² Correct Answer Incorrect Answer
    C 1,256 cm² Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Area of square = side²

    ⇒ side² = 2,500

    ⇒ side = √2500 = 50 cm

    Radius of circle = (2/5) × 50 = 20 cm

    Area of circle = 3.14 × 20² = 3.14 × 400 = 1,256 cm²

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