Final answer:
Michael will need to paint an area of approximately 2827.43 square feet at the base of his circular swimming pool, which he can calculate using the area formula for a circle, A = πr^2.
Step-by-step explanation:
Michael needs to calculate the area of the base of his circular swimming pool to determine how much surface he has to paint. Since the pool is circular with a diameter of 60 feet, its radius is half of the diameter, which is 30 feet. The area A of a circle is calculated with the formula A = πr^2, where r is the radius and π (pi) is approximately 3.14159.
So, the area Michael needs to paint is:
A = π × (30 ft)^2 = 3.14159 × 900 ft^2 ≈ 2827.43 ft^2.
Therefore, Michael will need to paint approximately 2827.43 square feet.