Math, asked by cutie1088, 9 months ago

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

Answers

Answered by MaheswariS
2

\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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