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

  • question_answer
    The circumference of a circle exceeds the diameter by 25.8 cm, then the radius of the circle is

    A) 6.02 cm

    B) 5.02 cm

    C) 4.02 cm

    D) 5.58 cm

    Correct Answer: A

    Solution :

    Given, circumference of a circle
                = Diameter of a circle + 25.8
    \[\Rightarrow \,\,\,2\pi r=2r+25.8\]
    \[\Rightarrow \,\,2r\left( \pi -1 \right)=25.8\Rightarrow \left( \pi -1 \right)r=129\]
    \[\Rightarrow \,\,\,r=129\times \frac{7}{15}\Rightarrow r=6.02\,cm\]
     


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