The circumference of two circles are in ratio 2:3. Find the ratio of their areas
The circumference of two circles are in ratio 2:3. Find the ratio of their areas.
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Let radius of two circles be r1 and r2 then their circumferences will be 2πr1 : 2πr2
= r1:r2
But circumference ratio is given as 2 : 3
r1: r2=2:3
Ratio of areas = πr22: πr2 2
= (r1/ r2)2
= (2/3)2
=4/9
=4:9
Therefore, ratio of areas = 4:9
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