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 pond?
The circumference of a circle is calculated using the formula C = πd, where d is the diameter of the circle.
Since the circumference of the pond is 60 feet, we can calculate its diameter:
60 = πd
d = 60/π
d ≈ 19.1 feet
The radius of the pond is half of its diameter, so the radius is:
r = d/2
r ≈ 19.1/2
r ≈ 9.55 feet
The radius of the entire platform is half of its diameter, which is 30 feet, so the radius is:
R = 30/2
R = 15 feet
The width of the platform around the pond is the difference between the radius of the entire platform and the radius of the pond:
Width = R - r
Width ≈ 15 - 9.55
Width ≈ 5.45 feet
Therefore, the width of the platform around the pond is approximately 5.45 feet.