Question

A person travels a distance πR along the circumference of a circle of radius R. Displacement of the person is :

a)R

b)2R

c)2πR

d)Zero.


Hoping answer with sufficient explanation.

:-)

Answer 1

Radius of circle=R
Distance travelled=πR
Circomference of field=2πR
So he only travels along the half of field that is semicircle
Since displacement is shortest distance
Do Displacement=2R since he could travelled diametrically as the shortest distance.

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Answer 2

Given:

Distance = π R

Radius = R

To Find:

Displacement

Solution:

circumference of a circle = 2 π R

Distance = circumference of a circle / 2 = π R

∴ the person has completed only the half-circle.

Now,

Displacement =  shortest distance

Diplacement = dimameter of the circle = Radius * 2

Displacement = 2R

So, the displacement is 2R.