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
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.