Question

    Calculate  the perimeter of a square when the area of a

    circle that circumscribes it is 486 square centimeters. (Assume π = 3 for calculations.)
    A 65 cm Correct Answer Incorrect Answer
    B 70 cm Correct Answer Incorrect Answer
    C 72 cm Correct Answer Incorrect Answer
    D 50 cm Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let radius of the circle is ‘r’ cm. So, πr 2 = 486 Or, r 2 = 162 Or, r = 9√2 So, diameter of circle = diagonal of square Or, √2 × side of square = 2 × 9√2 So, side of square = 18 Perimeter of square = 4 × side = 4 × 18 = 72 cm

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