Final answer:
The diameter of the circular swimming pool with a circumference of 90 feet is approximately 28.65 feet and the radius is approximately 14.32 feet, both rounded to the nearest hundredth.
Step-by-step explanation:
The question is asking to calculate the diameter and radius of a circular swimming pool given its circumference, which is 90 feet. In mathematics, the formula relating the circumference (C) of a circle to its diameter (d) is C = πd, where π (pi) is approximately 3.14159. To find the diameter, you can rearrange this formula as d = C / π. To find the radius (r), which is half the diameter, you can use the formula r = d / 2.
First, calculate the diameter:
d = C / π = 90 feet / 3.14159 ≈ 28.65 feet
Next, calculate the radius by dividing the diameter by 2:
r = d / 2 = 28.65 feet / 2 ≈ 14.32 feet
Therefore, the diameter of the swimming pool is approximately 28.65 feet and the radius is approximately 14.32 feet, both rounded to the nearest hundredth.