Question

Chloe is about to perform a relay handoff on a circular track that has a radius of 100 meters. She

needs to run 143.12 meters to pass the baton to her track partner Claire. This means that Claire is
standing
away from her
Which of the following can be use to fill in the above blank?

Answer 1

Claire is standing at a distance of 485.45 meters to Chloe.

Explanation:

The track is a circular with a radius of 100 meters.

The total length of the circular track = length of the circumference of a circle

But, length of the circumference of a circle = 2
`\pi`r

So that,

total length of the circular track = 2
`\pi`r

= 2 ×
`(22)/(7)` × 100

= 628.57

The total length of the circular track is 628.57 meters.

Thus,

the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire

= 628.57 - 143.12

= 485.45

This means that Claire is standing at a distance of 485.45 meters to Chloe.