We know that the area of a circle = 3.14*r^2
r = radius.
First let's find the area of the circles in white.
The area of the small circle = 3.14 * 4^2 = 50.2 cm^2
The area of the larger white circle = 3.14 * 8^2 = 201cm^2
The total area of the non-shaded region = 251.2 cm^2
Now, let's find the area of the giant circle.
The diameter = 24 cm so that means the radius = 12 cm
A = 3.14 * 12^2 = 452.2 cm^2
Now subtract the white circles from the giant circle.
452.2 - 251.2 = 201cm^2
The area of the shaded region = 201cm^2