Question

if i want the track to have a circumference of 400 feet what does the diameter of the track need to be?

Answer 1

Answer:

The diameter of the track needs to be 127.27 feet

Step-by-step explanation:

* Lets explain how to solve the problem

- The circumference of any circle is C = 2πr, where r is the radius

  of the circle and π is the constant ratio between the

  circumference and the diameter of the circle which

  approximately is 22/7 or 3.14

- The diameter of any circle is twice its radius

* Lets solve the problem

- The circumference of the track is 400 feet

∵ The circumference = 2πr

∵ π = 22/7

∴ 400 = 2 × 22/7 × r

∴ 400 = 44/7 r

- Divide both sides by 44/7 to find r

∴ r = 63.63

∵ The diameter of the circle = 2r

∵ The radius = 63.63 feet

∴ The diameter = 63.63 × 2 = 127.27 feet

* The diameter of the track needs to be 127.27 feet