The window has a shape of a semi-circle (half of a circle).
We know the diameter d = 12 ft.
The area of a (complete) circle is given by the formula:
A = π × r²
The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft
Therefore the area of the circle will be:
A = π × r²
= 3.14 × 6²
= 3.14 × 36
= 113.04 ft²
And the area of the semi-circle:
A = 113.04 ÷ 2
= 56.52 ft²
Hence, the area of the window will be 56.52 ft².
