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10th Class Mathematics Areas Related to Circles Question Bank Area of Circle

  • question_answer
    In the given figure, ABCD is a square of side 10 cm and a circle is inscribed in it. What is the area of the shaded part? (\[in\text{ }c{{m}^{2}}\])

    A)  \[\frac{100-36\pi }{41}\]                       

    B)  \[\frac{100-25\pi }{8}\]

    C)  \[\frac{100+25\pi }{8}\]                       

    D)  None of these

    Correct Answer: B

    Solution :

    (b): Mind of a mathematician: Try to solve it mentally. Shaded area \[=\frac{1}{8}\] of [Area (square) ? Area (circle)] \[=\frac{1}{8}\times (100-25\pi )\]


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