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The ratio of radii of two circles is in the ratio of 1:5. Calculate the ratio of their perimeters.
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Let the radii of the given circles be 5x and 3x respectively and let their circumferences be C
1
and C
2
respectively.
Circumference of a circle =2πr
Then, C
1
=2×π×5x=10πx and C
2
=2×π×3x=6πx
∴
C
2
C
1
=
6πx
10πx
C
2
C
1
=
3
5
Hence, the ratio of the circumference of the given circles is 5:3
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