Given:
side length = 6 ft
To find:
The area of the figure
Solution:
Area of the square = side × side
= 6 × 6
Area of the square = 36 ft²
Diameter of the semi-circle = 6 ft
Radius of the semi-circle = 6 ÷ 2 = 3 ft
Area of the semi-circle =
![(1)/(2) \pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/k7yi8yql635zdi8et8dh7tbxayszxjj73o.png)
![$=(1)/(2) * 3.14 * 3^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4642lifmfxl51jjnf45moompdiqwkp36d0.png)
Area of the semi-circle = 14.13 ft²
Area of the figure = Area of the square - Area of the semi-circle
= 36 ft² - 14.13 ft²
= 21.87 ft²
Area of the figure = 21.9 ft²
The area of the figure is 21.9 ft².