Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?
(1 point)
• 65 yd.²
• 44 yd.²
• 56 yd.²
• 30 yd.²
To find the area of the swimming pool, we need to identify the dimensions of the pool. From the diagram, we can see that the pool is in the shape of a rectangle with a semi-circle at one end.
The rectangle has a length of 10 yards and a width of 5 yards. The semi-circle has a radius of 5 yards (which is equal to the width of the rectangle).
First, we need to find the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 10 yards x 5 yards = 50 square yards
Next, we need to find the area of the semi-circle:
Area of semi-circle = 1/2 * π * r^2
Area of semi-circle = 1/2 * π * 5^2 = 1/2 * π * 25 = 12.5π square yards
Now, we can add the areas of the rectangle and semi-circle to get the total area of the swimming pool:
Total area = area of rectangle + area of semi-circle
Total area = 50 square yards + 12.5π square yards ≈ 50 square yards + 39.27 square yards ≈ 89.27 square yards
Therefore, the closest option to the actual area of the swimming pool in square yards is 89.27, which is not listed among the answer choices.