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.
semicircle: 4
length: 12
To find the area of the figure, we need to find the area of the rectangle and the area of the semicircle, then add them together.
Area of rectangle = length * width
Area of rectangle = 12 * 4 = 48
Area of semicircle = (1/2) * π * r^2
Area of semicircle = (1/2) * π * 4^2 = 8π
Adding the two areas together:
Total area = 48 + 8π
Using the value of π as approximately 3.14159:
Total area = 48 + 8 * 3.14159
Total area = 48 + 25.13272
Total area ≈ 73.1
Therefore, the area of the figure is approximately 73.1 units squared.