Final answer:
By dividing the total distance Jerome swam by the number of laps, we find the circumference of one lap. Using the formula for the circumference of a circle, we can then calculate the diameter of Jerome's pool to be approximately 30 feet.
Step-by-step explanation:
The question is asking to calculate the diameter of Jerome's circular pool. We know that Jerome swam 11 laps and traveled a total distance of 1,036.2 feet. This means the circumference of the pool is 1,036.2 feet divided by 11 laps, which equals approximately 94.2 feet per lap. Since the circumference (C) of a circle is given by the formula C = πd, where π (pi) is approximately 3.14159 and d is the diameter, we can rearrange to solve for d. Dividing the circumference by π gives us the diameter: d = C / π. Substituting the value for the circumference, we have d = 94.2 ft / 3.14159, which gives us a diameter of approximately 30 feet.