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 the cyclist is

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Solution

Q.
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 the cyclist is ____. [2024]

1 4 km

2 6 km

3 $\sqrt{8}$ km

4 8 km

Ans.
(3)

$P S = \sqrt{{(O S)}^{2} + {(O P)}^{2}} = \sqrt{R^{2} + R^{2}} = R \sqrt{2}$

$∴$ $Displacement = R \sqrt{2} = 2 \sqrt{2} = \sqrt{8} km$

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