Question

Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximation for and give your answer to the nearest square inch. Enter only the number. 6 inch 1 12 inch 12 inch The solution is

Answer 1

To find the area of a composite figure made up of a square and a semicircle, find the areas of each shape and add them together. The area is 50 square inches.

Step-by-step explanation:

To find the area of a composite figure made up of a square and a semicircle, we need to find the areas of the individual shapes and then add them together.

First, find the area of the square by multiplying its length by its width: 6 inches x 6 inches = 36 square inches.

Next, find the area of the semicircle. The formula for the area of a semicircle is 1/2 x π x r^2, where r is the radius. In this case, the diameter of the semicircle is the same as the side length of the square, which is 6 inches. So the radius is half of that, which is 3 inches. Plugging these values into the formula, we get: 1/2 x 3.14 x (3 inches)^2 = 14.13 square inches.

Finally, add the areas of the square and the semicircle together: 36 square inches + 14.13 square inches = 50.13 square inches. Rounded to the nearest square inch, the area of the composite figure is 50 square inches.