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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-7

  • question_answer
    What will be the area of a semicircle whose perimeter is 36 cm?

    A)  88 sq cm         

    B)  77 sq cm

    C)  99 sq cm         

    D)  66 sq cm

    Correct Answer: B

    Solution :

    Perimeter of semi- circle \[\,\,\,\,\,\,\,\,=\pi R+2R=36\,\,cm\] \[\Rightarrow \]   \[R\left( \frac{22}{7}+2 \right)=36\] \[\Rightarrow \,\] \[R\times \frac{36}{7}=36\] \[\therefore \]                  \[R=7\,\,cm\] \[\therefore \] Area of semicircle\[=\frac{1}{2}\times \pi {{R}^{2}}\] \[\,=\frac{1}{2}\times \frac{22}{7}\times 7\times 7=77\]sq cm


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