The ratio of the radii of two circles is $7 : 9$ . Find the ratio of their circumferences.

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$5 : 9$

$7 : 9$

$7 : 6$

$6 : 9$

answer is D.

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Detailed Solution

Ratio of the radii of the circles $= 7 : 9$ . Let the radius of first circle $= 7 x$ . Radius of second circle = $9 x$ . So, ratio of circumferences $= 2 π r 1 : 2 π r 2 = \frac{2 π \times 7 x}{2 π \times 9 x} = 7 : 9$

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