Question

A circular track has an inside cirumference of 220m. If the width of track is 3.5m, find its outer circumference.​

Answer 1

Lc = 242 [m]

Step-by-step explanation:

The circumference is defined as the circumference length of a circle, this length can be calculated by means of the following equation.

`L_(c)=2*\pi *r`

where:

Lc = circumference length = 220 [m]

r = radius [m]

Now we can clear r

`r=(L_(c))/(2*\pi ) \\\\r = (220)/(2*\pi )\\\\r = 35.01 [m]`

Now we can determine the outer radius with the inner diameter plus the width of the track.

R = r + 3.5

R = 35.01 + 3.5 = 38.51 [m]

The outer circumference is:

`L_(c) = 2*\pi *38.51 \\L_(c) = 242 [m]`