Question

THE RATIO of the circumferences of two circles is 3:5. the ratio of their radii will be

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Answer 1

Given :-

Ratio of the circumference of circle is 3:5

To Find

We have to find the ratio of the radii of circle

Solution :-

Let the radius of both circle be $\sf\ r_1\ and\ r_2$

As we know that the

$\star\sf\ \ Circumference\ of\ circle = 2\pi r\\ \\ \\ :\implies\sf\ \dfrac{Circumference\ of\ Circle_1}{Circumference\ of\ Circle_2}= \dfrac{2\pi r_1}{2\pi r_2}\\ \\ \\ :\implies\sf\ \dfrac{3}{5}= \dfrac{\cancel{2\pi}r_1}{\cancel{2\pi}r_2}\\ \\ \\ :\implies\sf\ \dfrac{3}{5}= \dfrac{r_1}{r_2}\\ \\ \\ :\implies\sf\ or\ \ \dfrac{r_1}{r_2}=\dfrac{3}{5}\\ \\ \\ :\implies\sf\ \ r_1 :r_2= 3:5$

•°• The ratio of their radii is 3:5.

Answer 2

Answer:

Given :-

Ratio of the circumference of circle is 3:5

To Find :-

Ratio of radii

Solution :-

We know that

${ \boxed{ \red{ \underline{ \overline { \rm \: Circumference = 2\pi r}}}}}$

Let the radii be R and r

3/5 = 2πR/2πr

3/5 = πR/πr

3/5 = R/r

The ratio of their radii is 3:5.