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Question
The circumference of two circles are in ratio 2:3. Find the ratio of their areas
Solution
Let radius of two circles be ๐1 and ๐2 then their circumferences will be 2๐๐1 : 2๐๐2
= ๐1: ๐2
But circumference ratio is given as 2 : 3
๐1: ๐2 = 2: 3
Ratio of areas = ๐๐22: ๐๐22
`= (r_1/r_2)^2`
`=(12/3)^2`
`= 4/9`
= 4:9
∴ ๐๐๐ก๐๐ ๐๐ ๐๐๐๐๐ = 4 โถ 9
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