A circular walking track has a radius of 150 yards. Margaret walked 2/3 of the distance before taking a break.?

Question

Would the path she walked be considered a “chord” or an “arc” of the circle? Explain.
– How many yards has Margaret walked? Show or explain how you got your answer.
– Margaret’s friend walked a path that resulted in her walking 400 yards. What was the central angle associated with a walk related to this distance. Show or explain how you got your answer.

Answer 1

If she walked on the track, it's an arc of a circle.

she walked 2/3 of the circumference. As you recall, the circumference of a circle of radius r is C = 2πr.

An arc of a circle of radius r that covers an angle θ is s = rθ

So, the friend walked through an angle θ such that

150θ = 400