Question

# If the radius of a circle is increased $$100$$%, the area is increased.

A
100%
B
200%
C
300%
D
400%
E
None of these

Solution

## The correct option is C $$300$$%Let $$r$$ be the original radius; then$$2r =$$ new radius, $$\pi r^{2} = original\ area, 4\pi r^{2} = new\ area$$.Percent increase in area $$= \dfrac {4\pi r^{2} - \pi r^{2}}{\pi r^{2}} \cdot 100 = 300$$.Mathematics

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