Question

A race track is in the form of a ring whose inner Circumference is 352m , and the outer circumference is 396m. Find the width of the track​

Answer 1

i hope this will help you

Answer 2

The width of a race track is 11.34 m.

Step-by-step explanation:

To find the width of the race track, we first calculate the radius of the race track's inner and outer circumference.

[tex]Circumference = 2 * \pi * r [/tex]

Given:

Inner Circumference = 352m

Outer circumference = 396m.

Circumference of Inner Circumference = 2 * $\pi$ * radius of inner ring

Substituting:

[tex]325 = 2 * 3.14 * radius\ of\ inner\ circle\\ radius\ of\ inner\ circle\ = \frac{325}{2*3.14}\\ radius\ of\ inner\ circle\ = 51.75\ m [/tex]

Circumference of Outer Circumference = 2 * $\pi$ * radius of outer ring

Substituting:

$396 = 2 * 3.14 * radius\ of\ outer\ circle\\radius\ of\ outer\ circle\ = \frac{396}{2*3.14}\\radius\ of\ outer\ circle\ = 63.06\ m$

Width of the track = Radius of outer ring - Radius of inner ring

[tex]Width\ of\ the\ track = 63.06\ - 51.75\\ Width\ of\ the\ track = 11.34\ m[/tex]