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

  • question_answer
    The difference between the circumference and the radius of a circle is\[\text{37 cm}\]. The area of the circle is:

    A) \[\text{149 c}{{\text{m}}^{\text{2}}}\]

    B) \[\text{154 c}{{\text{m}}^{\text{2}}}\]

    C) \[\text{121 c}{{\text{m}}^{\text{2}}}\]

    D) \[\text{169 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: B

    Solution :

    [b]     \[2\pi r-r=37\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,r(2\pi -1)=37\]
    \[r=\frac{37}{2\pi -1}\,\,\,\,\Rightarrow \,\,\,\,\,r=7\,cm\]
    \[\Rightarrow \]  Area \[=\pi {{r}^{2}}=\frac{22}{7}\times {{(7)}^{2}}=154\,c{{m}^{2}}\]


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