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

$\begin{gathered} \text{Distance = }\frac{\theta}{360^0}\times2\times\pi\times r \\ =\text{ }\frac{280}{360}\times2\times3.142\times35 \\ =\frac{61583.2}{360} \\ =171.06\text{ meters} \end{gathered}$

The runner has traveled 171.06 meters