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    Question

    The area of a square is 42 sq. cm more than the area of

    a rectangle of length 21 cm and breadth 19 cm. What will be the area of incircle of the square? MT
    A 9 cm Correct Answer Incorrect Answer
    B 9.5 cm Correct Answer Incorrect Answer
    C 10.5 cm Correct Answer Incorrect Answer
    D 10 cm Correct Answer Incorrect Answer
    E 11 cm Correct Answer Incorrect Answer

    Solution

    The area of rectangle = l × b = 21 × 19 = 399 sq. cm The area of square = 399 + 42 = 441 sq. cm The side of square = √441 = 21 cm Radius of incircle of a square = side = 21/2 = 10.5 cm

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