Question:If the radius of a circle is decreased by 50%, its area will decease by : 

A 25% 
B 50% 
C 75% 
D None 

+ Answer
C 

+ Explanation
Let original radius = R. New radius 

`= 50/100 R`

`= R/2.`

Original area `π R^2` & New area

`= π (R/2)^2`

`= (π R^2)/4.`

Decrease in area 

`= ((3 π R^2)/4 xx 1/( π R^2) xx 100)%

`= 75%`

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Irin Moni

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