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.
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
1 answer
1 answer