SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    If the diameter of the circle is increased by 100%, its area is increased by

    A) 100%

    B)  200%  

    C)  300%

    D)  400%

    Correct Answer: C

    Solution :

    Let diameter = 2r \[\therefore \]      Area \[=\pi {{r}^{2}}\] New diameter = 4r New area \[=4\pi {{r}^{2}}\] \[\therefore \] Increase in area \[=4\pi {{r}^{2}}-\pi {{r}^{2}}=3\pi {{r}^{2}}\] \[\therefore \] Increase percentage in area \[=\left( \frac{3\pi {{r}^{2}}}{\pi {{r}^{2}}}\times 100 \right)%=300%\]


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