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

  • question_answer
    The given figure shows two identical semicircles inside a square. What is the area of the shaded region?

    A)  \[15\text{ }c{{m}^{2}}\]                                

    B)  \[21\,c{{m}^{2}}\]       

    C)  \[16\,c{{m}^{2}}\]                             

    D)  \[23\,c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    (b): Area of shaded region = 1/2 (Area of the square ?  Area of circle) \[=\frac{1}{2}{{a}^{2}}\left[ 1-\frac{\pi }{4} \right]\] where, a= side of square \[=\frac{{{14}^{2}}}{2}[1-0.785]=98\times 0.215=21\,\,c{{m}^{2}}\]


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