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

  • question_answer
    A sector of a circle of diameter \[\text{8 cm}\] contains an angle of \[135{}^\circ \]. The area of sector is:

    A) \[6\pi \,c{{m}^{2}}\]

    B) \[6\,c{{m}^{2}}\] 

    C) \[12\pi \,c{{m}^{2}}\]

    D) \[20\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    [a] Here, diameter \[=8cm\] and \[=135{}^\circ \]
    \[\therefore \] Area of sector \[\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}=\frac{135{}^\circ }{360{}^\circ }\times \pi {{\left( \frac{8}{2} \right)}^{2}}=6\pi c{{m}^{2}}.\]


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