Question

A race car drove around a circular track that was 0.3 mile. If 1 mile = 5,280 feet, what is the radius of the track, in feet? Use π = 3.14 and round to the nearest hundredth.

Answer 1

To find the radius of the circular track in feet, we can use the formula for the circumference of a circle:

Circumference = 2πr

Given that the circumference of the track is 0.3 mile, which is equal to 0.3 * 5,280 feet, we can set up the equation:

`(0.3)(5280)=2\pi r`

Simplifying the equation using 3.14 as pi:

`1,584=6.28r`

Dividing both sides of the equation by 6.28:

r = 1,584 / 6.28

r ≈ 252.23

Answer:

Rounding to the nearest hundredth, the radius of the track is approximately 252.23 feet.