Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nearest tenths place.
length is 8 and width is 6
To find the area of this figure, we need to find the area of the rectangle and subtract the area of the semicircle that is removed.
The area of the rectangle is given by length times width:
Area of rectangle = 8 * 6 = 48 square units.
The area of a semicircle is given by half the area of a full circle. The formula for the area of a circle is π * radius^2. Since the diameter of the semicircle is the same as the width of the rectangle (6), the radius of the semicircle is half of the width, which is 3.
Area of semicircle = (1/2) * π * 3^2 = (1/2) * π * 9 = 4.5π square units.
To find the area of the figure, we subtract the area of the semicircle from the area of the rectangle:
Area of figure = Area of rectangle - Area of semicircle = 48 - 4.5π ≈ 35.3 square units. (rounded to the nearest tenth)