Final answer:
The circumference of the swimming pool is 6 times greater than the circumference of the wading pool.
Step-by-step explanation:
The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. The diameter of the circular wading pool is 5 feet, so the radius is half of that, which is 2.5 feet. Therefore, the circumference of the wading pool is C = 2π(2.5) = 15.7 feet.
The circumference of the circular swimming pool can be found using the same formula. The radius of the swimming pool is 15 feet. Therefore, the circumference of the swimming pool is C = 2π(15) = 94.25 feet.
To find how many times greater the circumference of the swimming pool is than the wading pool, we divide the circumference of the swimming pool by the circumference of the wading pool: 94.25 / 15.7 = 6 times greater.