Question

the ratio of the radii of two circle is 3:2 .what is the ratio of their circumference​

Answer 1

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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Answer 2

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Ratio = 3:2

step-by-step explanation:

Let the radii ofcircles be r andR respectively.

It is given that,

r:R = 3:2

=> r/R = 3/2 ...................(i)

now,

we know that,

Circumference of a circle

= 2π times the radius

Let the circumference be C1 and C2 respectively.

=> C1 = 2πr and

=> C2 = 2πR

.°. Ratio = C1/C2

= 2πr/2πR

= r/R

= 3/2 ........................from (i)

So,

C1:C2 = 3:2