Question

A track coach is standing in the center of a circular track whose diameter is 70 meters and she has to rotate 280 degrees to watch her runner. how far has the runner traveled?

Answer 1

Diameter is 70m

Thus radius = half of diameter= 70/2 = 35meters

Angle of rotation (teta) = 280 degrees

The distance covered will be

`\begin{gathered} \text{Distance = }(\theta)/(360^0)*2*\pi* r \\ =\text{ }(280)/(360)*2*3.142*35 \\ =(61583.2)/(360) \\ =171.06\text{ meters} \end{gathered}`

The runner has traveled 171.06 meters