Question

The ratio of radii of two circles is 2:3 what is the proportion of their areas?​

Answer 1

Answer:

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Let us take the given ratio be 2x:3x

Area 's ratio =πr^2:πR^2

=4x^2:9x^2

=4:9.

Answer 2

r : R = 2x : 3x

Ratio of areas = πr² : πR²

=> ratio = r² / R²

=> ratio = (2x)² / (3x)²

=> ratio = 4x² / 9x²

=> ratio = 4/9

Answer = 4:9