Question

Isaac is constructing a circular pool that has a diameter of 20 ft and is 5 ft deep. Part A: Find the circumference of the pool to the nearest tenth of a foot. Use 3.14 for pi. Part B: Find the area of the circle formed by the pool to the nearest foot.

Answer 1

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

Explanation:

The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:

`circumference = 2*\pi*r`

Where the radius is half the diameter, applying the data from the problem we have:

`circumference = 2*3.14*10 = 62.8 \text{ ft}`

The area of the circle formed by the pool can be found using the following expression:

`area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2`

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².