Subject

    Quantitative Aptitude

    Topic

    Circles

    For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area?

    ক)
    10%
    খ)
    20%
    গ)
    36%
    ঘ)
    400%

    Explanation

    If R is the original radius then the area of the circle is =πr2 If we decrease the radius by 20% the new radius is =.8r  so the new area is=π .(8r)2 = .64πr2 Compute the percent of the new to the old: = 64πr2 / πr2=.64 The decrease then is 100 - 64 = 36%

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