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

  • question_answer
    Figure ABCD is a square with side 10 cm. BMD is an arc of a circle with centre C. BND is an arc of a circle with centre A. What is the area of the shaded region?

    A)  \[\left( 100-25\pi  \right)\text{ }c{{m}^{2}}\]     

    B)  \[\left( 100-50\pi  \right)c{{m}^{2}}\]

    C)  \[\left( 50\pi -100 \right)c{{m}^{2}}\]

    D)  \[\left( 25\pi -100 \right)\text{ }c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    (c): Area of shaded region = 2[Area of quadrant - area (\[\Delta le\,\,ABD\])]. This area can be standardized as, Required area \[=\frac{{{a}^{2}}}{2}(\pi -2)\] where ?a? is length of side of square.        


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