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    If the radius of a circle is reduced by 15%, then its area is reduced by:
    Question

    If the radius of a circle is reduced by 15%, then its area is reduced by:

    A.

    17.75%

    B.

    12.75%

    C.

    17%

    D.

    27.75%

    Correct option is D

    Given:

    The radius of the circle decrease =  15%, 

    Formula Used:  

    ( a + b + ab100\frac{ab}{100})% 

    Solution:  

    (-15 -15 + 15×15100\frac{-15\times-15}{100})%

    = (-30 + 2.25 )%

    = -27.75 %

    Then the area of the circle decreased by 27.75%


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