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 and 5

Answer 1

In order to find the area of the figure, we need to find the area of the rectangle and the semicircle separately and then add them together.

The area of a rectangle is found by multiplying its length by its width. From the given dimensions, we know that the length of the rectangle is 11 and the width is 5. So the area of the rectangle is 11 x 5 = 55.

The area of a semicircle is found by dividing the area of a full circle by 2. The formula for the area of a circle is given by A = πr^2, where A represents the area and r represents the radius. From the given dimensions, we know that the radius of the semicircle is 5. Plugging this value into the formula, we get A = π(5)^2 = 25π.

Finally, we add the area of the rectangle and the semicircle together. The area of the figure is 55 + 25π.

To round to the nearest tenth, we need to approximate the value of π. π is an irrational number and cannot be expressed exactly as a decimal. However, it is commonly approximated as 3.14. So we can substitute π with 3.14 to get an approximate value.

Thus, the area of the figure is 55 + 25(3.14) = 55 + 78.5 ≈ 133.5.

Therefore, the area of the figure, rounded to the nearest tenth, is approximately 133.5 square units.