Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place. 9 and 12
To find the area of the figure, we first need to find the area of the rectangle and the area of the semicircle separately, and then add them together.
Area of rectangle = length x width
Area of rectangle = 12 x 9
Area of rectangle = 108 square units
Next, we need to find the area of the semicircle:
Area of semicircle = 1/2 x π x radius^2
Area of semicircle = 1/2 x π x 9^2
Area of semicircle = 1/2 x π x 81
Area of semicircle = 40.5π square units
Now, we add the areas of the rectangle and semicircle:
Total area = 108 + 40.5π
Total area ≈ 108 + 40.5 x 3.14
Total area ≈ 108 + 127.17
Total area ≈ 235.17 square units
Therefore, the area of the figure is approximately 235.2 square units.