Question

If the ratio of the radii of two circles is 3 : 2, then the ratio of their circumference is

Answer 1

circumference 2πr1 : 2πr2
then ratio = r1:r2 = 3:2

Answer 2

Ratio of radii = 3 : 2

So, let the radii of two circles be 3r and 2r respectively.

Let C1 and C2 be the circumferences of the two circles of radii 3r and 2r respectively.

C1 = 2π × 3r = 6πr
C2 = 2π × 2r = 4πr

According to the question,
=> 6πr÷4πr
=> 3÷2

Hence, C1 and C2 = 3÷2 = 3 : 2

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