The ratio of the two areas of two circles is4/9 find the ratio of their radii

Answer 1

Let the radii of the two circles be r1 and r2.

The ratio of their areas can be expressed as:

(area of circle 1) / (area of circle 2) = (πr1^2) / (πr2^2) = 4/9

This simplifies to:

(r1^2) / (r2^2) = 4/9

Taking the square root of both sides, we get:

(r1 / r2) = 2/3

Therefore, the ratio of their radii is 2/3.