SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    The area of the circle whose circumference is equal to the perimeter of a square of side 11cm is

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

    B)  \[144\,\,\text{c}{{\text{m}}^{2}}\]

    C)  \[134\,\,\text{c}{{\text{m}}^{2}}\]

    D)  \[124\,\,\text{c}{{\text{m}}^{2}}\]

    Correct Answer: A

    Solution :

    Circumference of circle \[=4\times 11=44\] \[\therefore \] \[2\pi r=44\,\,\text{cm}\]      (By condition) \[\therefore \]\[r=\frac{44}{2\pi }=7\,\,\text{cm}\] \[\therefore \]Area of circle \[=\pi {{r}^{2}}=\frac{22}{7}\times 7\times 7=154\,\,\text{c}{{\text{m}}^{2}}\]


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