What is the ratio of the area of Circle M and the area of Circle K?

Let us consider the circle M,

The diameter of circle M = 15H

The radius of circle M = $$\dfrac{15H}{2}$$

Area of any circle with radius R = $$\pi R^2$$

Area of circle M = $$\pi\left(\dfrac{15H}{2}\right)^2$$

Similarly, for the circle K.

Diameter of circle K = 15H+15H = 30H

The radius of circle K = $$\dfrac{30H}{2}$$ = 15H

Area of circle K = $$\pi\left(15H\right)^2$$

Therefore, the ratio of the area of Circle M and the area of Circle K = $$\pi\left(\dfrac{15H}{2}\right)^2$$:$$\pi\left(15H\right)^2$$

=> 1:4