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

  • question_answer
    The area of a sector of a circle with radius 6 cm, if angle of the sector \[60{}^\circ \]is

    A) \[\frac{132}{14}c{{m}^{2}}\]

    B) \[\frac{36}{7}c{{m}^{2}}\]

    C) \[\frac{132}{7}c{{m}^{2}}\]

    D) None of these

    Correct Answer: C

    Solution :

    We know that, area of sector of a circle \[=\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}\] Given, radius of circle, r = 6 cm and angle of sector, \[\theta =60{}^\circ \] \[\therefore \] Area of sector of a circle \[=\frac{60{}^\circ }{360{}^\circ }\times \frac{22}{7}\times {{\left( 6 \right)}^{2}}=\frac{132}{7}c{{m}^{2}}\]


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