Question

A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is :

• A. 6 km
• B. √8 km
• C. 4 km
• D. 8 km

Answer 1

The Correct Option is B

Since the cyclist travels along the circumference from point P to point S, which are opposite ends of the diameter of the circle, we can visualize the displacement as the straight-line distance between P and S.

1. Determine the Displacement:

• The radius R of the circular ground is given as 2 km.
• Points P and S form a diameter of the circle.
• The displacement from P to S is the length of the diagonal of the square formed by the radii OP and OS.

Using the Pythagorean theorem, we find:
\[ \text{Displacement} = R\sqrt{2} = 2\sqrt{2} = \sqrt{8} \, \text{km}. \]

 Answer: \(\sqrt{8} \, \text{km}\)