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Question

The area of two circles are in the ratio $$25 : 36$$. Then the ratio of their circumference is _________.


A
6:5
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B
3:4
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C
4:3
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D
5:6
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Solution

The correct option is C $$5 : 6$$
$$A_1:A_2=25:36$$

Divide by $$\pi$$:
$$R_1^2:R_2^2=25:36$$

Taking square root of both sides:
$$R_1:R_2=5:6$$

Multiplying by $$2\pi$$:
$$2\pi R_1:2\pi R_2=5:6$$

$$C_1:C_2=5:6$$

Mathematics

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