Answer:
The diameter of the track needs to be 127.27 feet
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