You place a circular pond in the center of a circular brick platform. The diameter of the entire platform is 30 feet. The pond has a circumference of 60 feet. What is the width of the platform around the pool?
To find the width of the platform around the pool, we need to subtract the diameter of the pool from the diameter of the platform.
The diameter of the pond is equal to the circumference divided by pi:
d = 60 ft / pi ≈ 19.0985915493 ft
The radius of the pond is equal to the diameter divided by 2:
r = 19.0985915493 ft / 2 ≈ 9.54929577465 ft
The diameter of the platform is given as 30 feet, so the radius of the platform is:
R = 30 ft / 2 = 15 ft
The width of the platform around the pool is then the difference between the radius of the platform and the radius of the pool:
Width = R - r = 15 ft - 9.54929577465 ft ≈ 5.45070422535 ft
Therefore, the width of the platform around the pool is approximately 5.45 feet.