The inner circumference of a circular track is 440 m. The track is 14 m wide. Find the diameter

of the outer circle of the track.

(440 / π) + (2 * 14)

250 To find the diameter of the outer circle of the track, we need to first calculate the diameter of the inner circle and then add the width of the track to it.

1. Start by calculating the radius of the inner circle:
- Circumference = 2πr
- Given that the inner circumference is 440 m, we can set up the equation:
440 = 2πr
- Divide both sides of the equation by 2π to solve for r:
r = 440 / (2π)
- Simplify using a calculator:
r ≈ 69.96 m

2. Now, calculate the diameter of the inner circle:
- Diameter = 2r
- Substitute the value of r we found:
Diameter = 2 * 69.96
- Simplify the equation:
Diameter ≈ 139.92 m

3. Finally, calculate the diameter of the outer circle by adding the track width to the inner diameter:
- Diameter_outer = Diameter_inner + 2 * track width
- Given that the track width is 14 m, substitute the values:
Diameter_outer = 139.92 + 2 * 14
- Simplify the equation:
Diameter_outer = 139.92 + 28
Diameter_outer ≈ 167.92 m

So, the diameter of the outer circle of the track is approximately 167.92 m.