Question

An athletics track has a circular shape and its diameter measures 80 m. An athlete training on this track wants to run 10 km daily. Determine the minimum number of complete turns that it should take this track every day

Answer 1

The athlete should take 40 full laps to train 10 kilometers daily. Ray measures half of this, ie 40 meters . To know how much the athlete will run in a single lap, we must calculate the length of the 40 meter radius circumference, given by the function:

C (r) = 2πr

Replacing the values, we have:

c (40) = 2π40

c (40) = 80π

< Strong> C (40) ≈ 251.33 m

each lap at 251.33 meters long, just to run 10 km (or 10,000 meters) , the athlete should give:

10000/251.33 = 39.79 laps (40 laps)

Answer 2

Explanation:

First, we need to find the length of the circular track,

area of circle =
`\pi d`

in this case,

`\pi d=80\pi` meters

10km = 10000 meters

he needs to run
`(10000)/(80\pi ) = 392.6\\` times to complete his goal.