Question

Radius of circle is doubled, Then find area increased %.​

Answer 1

Answer:

300%

Step-by-step explanation:

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Increased\%=300\%}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Radius \: of \: circle = r \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Area \: Increased \% = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Area \: of \: circle = \pi { r_{1} }^{2} \\ \\ \tt: \implies Area \: of \: circle =\pi {r}^{2} - - - - - (1) \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Area \: of \: new \: circle = \pi { r_{2}}^{2} \\ \\ \tt: \implies Area \: of \: new \: circle =\pi {(2r)}^{2} \\ \\ \tt: \implies Area \: of \: new \: circle =4\pi {r}^{2} - - - - - (2) \\ \\ \bold{For \: finding \: increase \: in \: area} \\ \tt: \implies Increase \: area = 4\pi {r}^{2} - \pi {r}^{2} \\ \\ \tt: \implies Increase \: area =3\pi {r}^{2} \\ \\ \bold{For \: increase \%} \\ \tt: \implies Increase \% = \frac{Increased \: area}{Actual \: area} \times 100 \\ \\ \tt: \implies Increase \% = \frac{3\pi {r}^{2} }{\pi {r}^{2} } \times 100 \\ \\ \green{\tt: \implies Increase \% = 300\%}$