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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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