Question

You decide to walk part of the way around a lake. The lake is a circle with a radius of 2.0 km You start on the shore due south of the lake and walk three-fourths of the way around the lake. ending up on the shore due east of the lake. What is your displacement?

Answer 1

Answer:

2.828 km

Explanation:

radius of lake, r = 2 km

Let O be the centre of the circular lake and you walk from A to A to D.

Displacement is the measure of shortest distance between two points.

According to the diagram , the displacement AD is

$AD^{2}=AO^{2}+OD^{2}$ (By using the Pythagorean theorem)

$AD^{2}=2^{2}+2^{2}$

AD = 2.828 km

thus, the displacement is 2.828 km.