Maths / Comparing Quantities / Percentage Change

QUESTION
 

If radius of a circle is increased by 50% then area of the circle will be increased by

OPTIONS
A. 

50%

B. 

150%

C. 

125%

D. 

200%

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

50X2=1005.0X5.0=frac{25}{125}

or

Let the radius = r

increase = 50% of r=0.5r

New Radius = 1.5r

large Original: Area = pi X r^2

large New: Area = pi X (1.5r)^2 = 2.25pi Xr^2

large Increase= 2.25pi Xr^2 -pi X r^2 = 1.25pir^2

large Percentage : Increase= frac{increase}{original}X 100=frac{1.25pi r^2}{pi r^2} X 100

large = 125

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