Question

The ratio of the radii of two circles is 3:2. What is  the ratio of their circumferences?


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Answer 1

Answer:

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Given that the ratio of the radii = 3: 2 So, let the radii of the two circles be 3r and 2r respectively. And let C1 and C2 be the circumference of the two circles of radii 3r and 2r respectively. C1 = 2 × 3 π r = 6 π r … (i) Now C2 = 2 × 2 π r = 4 π r … (ii) Consider, C1/C2 = (6 π r)/ 4 π r = 6/4 = 3/2 C1: C2 = 3: 2

Answer 2

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Given that the ratio of the radii = 3: 2 So, let the radii of the two circles be 3r and 2r respectively. And let C1 and C2 be the circumference of the two circles of radii 3r and 2r respectively. C1 = 2 × 3 π r = 6 π r … (i) Now C2 = 2 × 2 π r = 4 π r … (ii) Consider, C1/C2 = (6 π r)/ 4 π r = 6/4 = 3/2 C1: C2 = 3: 2