The circumferences of two circles are in the ratio $5:7$, find the ratio between their radii.


Given: The circumferences of two circles are in the ratio $5:7$

To do: To find the ratio between their radii.

Solution:

As given, ratio between the circumference of the circles, $C_1:C_2=5:7$

$\Rightarrow C_1:C_2=2\pi R_1:2\pi R_2$
$\Rightarrow 5:7=R_1:R_2$

$\Rightarrow R_1:R_2$
$=5:7$

Thus, the ratio between the two circles is  $5:7$.

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Updated on: 10-Oct-2022

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