Final answer:
To cover the circle swimming pool completely, the apartment manager will need to buy 220 square yards of tarp.
Step-by-step explanation:
To determine the area of the circle swimming pool, we need to calculate the radius.
The diameter of the pool is given as 50 ft, so the radius is half of that, which is 25 ft.
To find the area of the circle, we can use the formula A = π * r^2.
Plugging in the values, we get A = 3.14 * (25 ft)^2.
Simplifying further, A = 3.14 * 625 sq ft.
This gives us an area of approximately 1962.5 square feet.
Since the store sells tarps in multiples of 10 square yards, we need to convert the area from square feet to square yards.
There are 9 square feet in 1 square yard, so if we divide the area in square feet by 9, we will get the area in square yards.
In this case, 1962.5 sq ft / 9 = 218.06 sq yd.
Therefore, the apartment manager will need to buy 220 square yards of tarp to cover the pool completely.