Question

The radius of a circle is 8 cm. Determine the radiusof another circle whose area is 16 times of the first circle

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Radius of a circle is 8 cm}$

$\underline{\textbf{To find:}}$

$\textsf{The radius of another circle whose area is}$

$\textsf{16 times of the given circle}$

$\underline{\textbf{Solution:}}$

$\textsf{Let r be the radius of the required circle}$

$\textsf{As per given data,}$

$\mathsf{\pi\,r^2=16{\times}\pi\,(8)^2}$

$\implies\mathsf{r^2=16{\times}8^2}$

$\implies\mathsf{r^2=4^2{\times}8^2}$

$\implies\mathsf{r=\sqrt{4^2{\times}8^2}}$

$\implies\mathsf{r=4{\times}8}$

$\implies\boxed{\mathsf{r=32\;cm}}$

$\underline{\textbf{Answer:}}$

$\textsf{Radius of the required circle is 32 cm}$

$\underline{\textbf{Find more:}}$

The radius of a circle is x^2 + y^2 = 1. Find its area.​

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