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Question

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


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