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

  • question_answer
    A cow is tied to a peg at one corner of a rectangular field of dimensions \[10\,m\times 8\,m\] by a \[3\,m\] long rope. The area of the part of the field in which the cow can graze is:

    A) \[14.14\,{{m}^{2}}\]

    B) \[7.07\,{{m}^{2}}\]

    C) \[6.07\,{{m}^{2}}\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] Given, radius of sector \[(r)=3m\]
    Field is rectangular
    \[\therefore \]  Central angle \[(\theta )=90{}^\circ \]
    So, required area
                \[\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}=\frac{90{}^\circ }{360{}^\circ }\times \frac{22}{7}\times {{(3)}^{2}}\]
                \[=\frac{99}{14}=7.07{{m}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner