Question

the radius of a circle is 8cm determine the radius of another circle whose area is 16times more than the first circle​

Answer 1

$\textbf{Given:}$

$\text{Radius of the circle is 8 cm}$

$\textbf{To find:}$

$\text{Radius of another circle whose area is 16 times more than the first circle}$

$\textbf{Solution:}$

$\text{Let r_1 and r_2 be the radii of given two circles}$

$\text{As per given data,}$

$\textbf{Area of the second circle=16 {\times} Area of the first circle}$

$\implies\,\pi\,{r_2}^2=16{\times}\pi\,{r_1}^2$

$\implies\,{r_2}^2=16{\times}{r_1}^2$

$\implies\,{r_2}^2=4^2{\times}8^2$

$\implies\,{r_2}=4{\times}8$

$\implies\,{r_2}=32\,\text{cm}$

$\therefore\textbf{Radius of the another circle is 32 cm}$

Find more:

Find the circumference of circle whose diameter is-

(i) 17.5 cm (ii) 5.6 cm (iii) 4.9 cm​

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