Answer:
200.52yd²
Explanation:
To find the area of this figure we will take the areas of the square and half-circle and add them together.
The area of the square is 12yd*12yd, or 144yd²
The area of the circle is a little more complicated. First, we need to find the radius of the circle. Since the side of the square correlates to the side of the circle, then the diameter of the circle is 12, and thus, the radius is 6.
To find the area of a circle we use the equation πr². Plugging in 6, we get 36π. Since this is only a half circle though, we must divide our answer by 2, giving us 18π. Using 3.14 as π and multiplying that to 18, the area of the semicircle is 56.52yd².
All that's left now is to add the two areas together:
144yd²+56.52yd²=200.52yd²