The ratio of the areas of two circle is 4/9 what is the ratio of the array that the smaller circle has a radius of 12 cm what is the radius of the larger one

Answer 1

Let the radius of the larger circle be r.

Since the ratio of the areas of the two circles is 4/9, we have:

π(12^2) / π(r^2) = 4/9.

12^2 / r^2 = 4/9.

(144) / (r^2) = 4/9.

Cross multiplying, we have:

4(r^2) = 9(144).

4r^2 = 1296.

Dividing both sides by 4, we get:

r^2 = 324.

Taking the square root of both sides, we have:

r = √324.

r = 18.

Thus, the radius of the larger circle is 18 cm.