Luis is visiting a public garden that has a large, circular path. When he has walked one quarter of the distance around the path, magnitude of his displacement is 180m. Find the diameter of the path?

Answer 1

The magnitude of the displacement will be the straight line distance between his starting point and finishing point (don't confuse this with distance which is the distance around the circle walked).

So if r is the radius of the circle r² + r ² = 180 ² so r² = 16200

The diameter of the path will be 2r, so 2 √ 16200 = 254,5584412 m

As your data (180) has 3 significant figures, quote the answer to the same, so 255 m

Mike