10th Class Mathematics Areas Related to Circles Question Bank MCQs - Areas Related to Circles

  • question_answer
    A sector is cut from a circular sheet of radius \[100\,cm,\] the angle of the sector being \[240{}^\circ \]. if another circle of the area same as the sector is formed, then radius of the new circle is:

    A) \[\text{79}.\text{5 cm}\]

    B) \[\text{81}.\text{5 cm}\]

    C) \[\text{83}.\text{4 cm}\]

    D) \[\text{88}.\text{5 cm}\]

    Correct Answer: B

    Solution :

    [b] Area of sector
    \[=240/360\times \pi {{(100)}^{2}}=20933c{{m}^{2}}\]
    Let r be the radius of the new circle, then
    \[20933=\pi {{r}^{2}}\]
    \[r=\sqrt{\frac{20933}{\pi }}=81.5\,cm\]


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