Final answer:
The area of the bottom of the circular pool is approximately 490.625 square meters.
Step-by-step explanation:
The area of the bottom of a circular pool can be calculated using the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius of the pool.
Given that the diameter of the pool is 25 meters, the radius is half of the diameter, so r = 25/2 = 12.5 meters.
Plugging this value into the formula, we get A = π(12.5)^2 ≈ 490.625 square meters.