Railways R.R.C. (Gorakhpur) Solved Paper Held on 1st Shift 23-11-2014

  • question_answer
    If the area of a circle shrinks to one-fourth, how much will its radius change?

    A) One-fourth                    

    B) Half

    C) One-eighth                    

    D) One-sixteenth

    Correct Answer: B

    Solution :

    Suppose radius = r Then,    area = \[\pi {{r}^{2}}\] Now,     new area \[=\frac{1}{4}\pi {{r}^{2}}\] \[\pi {{R}^{2}}=\frac{1}{4}\pi {{r}^{2}}\] \[R=\frac{r}{2}\] Hence, its radius will be half.


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