Question:If the diameter of a circle is decreased by 100%, its area is increased by : 

A 100% 
B 200% 
C 300% 
D 400% 

+ Answer
C 

+ Explanation
Let original radius = R, New Radius 

`= 200/100 R = 2 R`.

:. Original area` = π R^2`, New area

`= π (2R)^2`

`= 4 π R^2`

:. Increase %`= ((3 π R^2)/(π R^2) xx 100) %`

                 `= 300 %.`

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Irin Moni

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