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

100

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200

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300

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400

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None of these

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Solution

The correct option is C $300$ %
Let $r$ be the original radius; then
$2 r =$ new radius, $π r^{2} = o r i g i n a l a r e a, 4 π r^{2} = n e w a r e a$ .
Percent increase in area $= \frac{4 π r^{2} - π r^{2}}{π r^{2}} \cdot 100 = 300$ .

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

The correct option is C 300%Let r be the original radius; then2r= new radius, πr2=original area,4πr2=new area.Percent increase in area =4πr2−πr2πr2⋅100=300.

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

The correct option is C $300$ %
Let $r$ be the original radius; then
$2 r =$ new radius, $π r^{2} = o r i g i n a l a r e a, 4 π r^{2} = n e w a r e a$ .
Percent increase in area $= \frac{4 π r^{2} - π r^{2}}{π r^{2}} \cdot 100 = 300$ .