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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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