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.
11
5
To find the area of the figure, we need to find the area of the rectangle and the area of the semicircle, and then add them together.
The area of the rectangle is given by length × width. We are given that the length is 11 and the width is 5, so the area of the rectangle is 11 × 5 = 55.
The area of the semicircle is given by πr²/2, where r is the radius. We are given that the radius is 5, so the area of the semicircle is (π × 5²)/2 = 25π/2.
To find the total area, we add the area of the rectangle and the area of the semicircle: 55 + 25π/2.
Now, we need to round to the nearest tenth. We can use a calculator to approximate the value of π to the appropriate number of decimal places. π is approximately 3.14159, so 25π/2 is approximately 25 × 3.14159/2 = 39.27.
Therefore, the total area is approximately 55 + 39.27 = 94.27 square units. Rounding to the nearest tenth, the area is approximately 94.3 square units.