As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters

As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle’s diameter. What is the ratio between the red and blue areas?

a) 1:3

b) 1:2

c) 1:4

d) 2:3

Sol:

Let the diameter of bigger circle be 6R.

Then the diameters of each small circles = 2R