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Question

If the ratio of circumference of two circles is 4:9, then what is the ratio of their areas is?

A
9:4
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B
16:81
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C
4:9
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D
2:3
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Solution

The correct option is C 16:81
Given that C1:C2=4:92πr1:2πr2=4:9r1:r2=4:9
We have
A1A2=πr21πr22=4292=1681
A1;A2=16:81

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