The ratio of two circles is 3:4 then what is the ratio of their areas
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Suppose there are two circles A and B having radius r and R respectively then
r:R=3:4
r=3x,R=4x
Area of A=πr
2
=π(3x)
2
=9πx
2
Area of B=πr
2
=π(4x)
2
=16πx
2
Ratio of areas of circle A and B=
16πx
2
9πx
2
=
16
9
Hence, Ratio of areas of two circles is 9:16.
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