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    Question

    The area of a square is 38 sq. cm more than the area of a rectangle of length 19 cm and breadth 17 cm. What will be the area of incircle of the square?

    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 = 19 × 17 = 323 sq. cm The area of square = 323 + 38 = 361 sq. cm The side of square = √361 = 19 cm Radius of incircle of a square = side = 19/2 = 9.5 cm

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