The distance between the centers of two circles that have external tangency is 27 cm.

The distance between the centers of two circles that have external tangency is 27 cm. Find the radii of the circles if one of them is 2 times larger than the other.

Let the length of the radius of the first circle be equal to x, then the length of the radius of the second circle will be equal to 2x (since it is 2 times larger).

The distance from the center of the first circle to the point of tangency is equal to the radius (that is, x), the distance from the center of the second circle is also equal to the radius (that is, 2x), the equation is obtained:

x + 2x = 27.

3x = 27.

x = 27/3 = 9 (cm) – the radius of the first circle.

9 * 2 = 18 (cm) – the radius of the second circle.