Question

If I drive 8.5 laps around a circular race track and during that drive I go 32 mi, what is the radius of the track? Round to two decimal places.

Answer 1

Answer: The radius of the track = 0.64 mi

Explanation:

Fr circular track , Total distance covered around it = (Number of laps) x (Circumference)

As per given,

32 mi = 8 x (Circumference)

Circumference =
`(32\ mi)/(8)=4\ mi`

Also, Circumference =
`2\pi r` , where r= radius so,

`2\pi r=4\ mi\\\\\Rightarrow\ r=(4)/(2\pi)\\\\\Rightarrow\ r=(2)/(\pi)`

Put
`\pi= 3.14`

`r=(2)/(3.14)\approx0.64\ mi`

Hence, the radius of the track = 0.64 mi