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)
Responses
44 square yards
44 square yards
56 square yards
56 square yards
30 square yards
30 square yards
65 square yards
To find the area of the swimming pool, we need to calculate the area of the rectangle and add it to the area of the two half circles.
The rectangle has dimensions 8 yards x 6 yards, so the area of the rectangle is 8 yards x 6 yards = 48 square yards.
The two half circles have a radius of 3 yards (half of 6 yards). The area of one half circle is 1/2 x π x (3 yards)^2 = 4.5π square yards. The total area of the two half circles is 2 x 4.5π = 9π square yards.
Therefore, the total area of the swimming pool is 48 square yards (rectangle) + 9π square yards (half circles) = 48 + 9π ≈ 48 + 9(3.14) ≈ 48 + 28.26 = 76.26 square yards.
Therefore, the area of the swimming pool is approximately 76.26 square yards.
None of the provided options match the calculated answer.
dtas not choice
I apologize for the oversight. Let's redo the calculation:
The area of the rectangle is 8 yards x 6 yards = 48 square yards.
Each half circle has a radius of 3 yards.
The area of one half circle is 1/2 x π x (3 yards)^2 = 4.5π square yards.
The total area of the two half circles is 2 x 4.5π = 9π square yards.
Therefore, the total area of the swimming pool is 48 square yards (rectangle) + 9π square yards (half circles).
Using the approximation of π as 3.14, we have:
48 + 9(3.14) = 48 + 28.26 = 76.26 square yards.
So, the area of the swimming pool is approximately 76.26 square yards.
None of the original provided choices included 76.26 square yards.