Final answer:
To cover his circular swimming pool, Kevin needs an amount of material that corresponds to the area of the pool. Using the formula for the area of a circle (A = πr²), with π approximated as 3.14 and the radius as half of the 20 feet diameter, the required material is 314 square feet.
Step-by-step explanation:
Kevin is buying a cover for his circular swimming pool, which has a diameter of 20 feet. To calculate the amount of material needed to cover the pool, he will need to find the area of the circle. The area (A) of a circle is given by the formula A = πr², where π (pi) is approximately 3.14 and r is the radius of the circle. Because the radius is half of the diameter, the radius of Kevin's pool is 10 feet (20 feet ÷ 2).
Substituting the values into the area formula, we get: A = 3.14 × (10 ft)², which simplifies to A = 3.14 × 100 ft² and then A = 314 ft². So, the amount of material Kevin needs to cover the pool is 314 square feet.