We know that the figure is a square, so that means all sides must be 12. If all sides are 12, then the diameter of the circle must also be 12, but we need the radius to find the area of the circle so we divide 12 by 2 and get 6 as the radius, which we can then substitute into the equation area = π × radius^2 and get the area for both semicircles as 36π = 113.097.
Now all we need to do is subtract this value from the area of the square, which is 12 × 12 = 144, so the final answer is 144 - 113.097 = 30.9cm^2.
I hope this helps!
