Maths / Comparing Quantities / Percentage Change

QUESTION
 

If redius of a circle is increased by 100% then area of the circle will be increased by

OPTIONS
A. 

200%

B. 

100%

C. 

300%

D. 

400%

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

100X2=200(+)10.0::::10.0=frac{100}{300}

Let the radius = r

increase = 100% of r=1.0r

New Radius = 2 r

large Original: Area = pi X r^2

large dpi{120} large dpi{120} fn_jvn large New: Area = pi X (2r)^2 = 4 pi Xr^2

large Increase= 4 pi Xr^2 -pi X r^2 = 3 pi r^2

large Percentage : Increase= frac{increase}{original}X 100=frac{3 pi r^2}{pi r^2} X 100=300

 

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