Two similar circles have corresponding radii in the ratio 4:9. What is the ratio of their area.

1 answer

The ratio of the areas of two circles is equal to the square of the ratio of their radii.

Given that the ratio of the radii is 4:9, the square of this ratio is (4/9)^2 = 16/81.

Therefore, the ratio of the areas of the two circles is 16:81.