Oleg is running around a circular track He runs at 3 meters

Oleg is running around a circular track. He runs at 3 meters per second and it takes him 73 seconds to complete each lap of the track. He starts running from the northermost point of the track, and runs clockwise for 5 minutes. When he stops, how far (in a straight line) from the westernmost point of the track is he?

Could explain why each step of the solution is necessary as you go? That would be much appreciated,
Thank You

Solution

Velocity = 3 m/s
73 seconds to complete the lap

The entire lap is 3*73 = 219 meters

5 minutes = 5*60 = 300 seconds

73*4 = 292 seconds, within which he completes 4 laps and reaches back to the northernmost part

Now, in 8 seconds, he travels 3*8 = 24 meters.

Now, that, as an angle is ....
24/219 * 360 = 39.452 degrees from the northern direction

219 = circumference
219 = 2pi*r
r = 34.8549 meters

This point therefore, has an x-value of 34.8549*sin(39.452)
= 22.14790 meters

So, from the westernmost point, he is
22.14790 + 34.8549
57

So, 57 meters from the westernmost point