Question

If the radius of the circle is increased by 100%, by what percent is the area of the circle increased?

Answer 1

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Answer 2

$\bold{let : } \\ \\ the \: radius \: of \: a \: circle : \\ \\ \bold{r \: \: cm \:} \\ \\ \\ \\ the \: area \: of \: that \: circle : \\ \\\bold{ \pi \times {r}^{2} } \\ \\ \\ \\ when \: it \: is \: increased \: by \: 100 \: \% \\ \\ the \: radius : \\ \\ r + r \\ \\ 2r \\ \\ \\ \\ the \: area \: now : \\ \\ \pi \times {(2r)}^{2} \\ \\ \pi \times 4 {r}^{2} \\ \\ \\ \\ \: means \: \\ \\ \frac{\pi \times 4 \times {r}^{2} }{\pi \times {r}^{2} } \\ \\ 4 \: times \: ..........\\ \\ \\ \\ 4πr^2 - πr^2 \\ \\ 3 π r^2 \\ \\ \\ \\ 300 \%$