Railways R.R.C. (Gorakhpur) Solved Paper Held on 1st Shift 9-11-2014

  • question_answer
    If the area of a circle is increased 16 times, how much will its circumference increase?

    A) 16 times           

    B) 8 times

    C) 4 times             

    D) 2 times

    Correct Answer: C

    Solution :

    Let original radius = r Then,    area =\[\pi {{r}^{2}}\] Now,     new radius = R Then,    \[\pi {{R}^{2}}=16\pi {{r}^{2}}\] R = 4r Now, Circumference \[=2\pi r\] \[=2\pi \times 4r\] \[=4\times (2\pi r)\] Hence, circumference increased 4 times.


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