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A cyclist completes n round of a circular track. What will be the distance covered and displacement of the cyclist after completing n rounds if D is diameter of the track?
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A cyclist completes n round of a circular track. What will be the dist...
Distance Covered by a Cyclist on a Circular Track:

  • Distance covered by a cyclist on a circular track is the total distance traveled by the cyclist in n rounds.

  • In one round, the cyclist covers the circumference of the circular track.

  • The circumference of a circle is given by 2πr, where r is the radius of the circle.

  • As the diameter of the track is given, the radius can be found by dividing the diameter by 2.

  • Thus, the distance covered by the cyclist in one round is Dπ, where D is the diameter of the track.

  • Hence, the distance covered by the cyclist in n rounds is Dπn.



Displacement of a Cyclist on a Circular Track:

  • Displacement of a cyclist on a circular track is the straight-line distance from the starting point to the ending point.

  • As the cyclist completes n rounds, the starting and ending points are the same.

  • Hence, the displacement of the cyclist on a circular track is zero.



In summary, the distance covered by a cyclist on a circular track is Dπn, where D is the diameter of the track and n is the number of rounds completed. The displacement of the cyclist on a circular track is zero as the starting and ending points are the same.
Community Answer
A cyclist completes n round of a circular track. What will be the dist...
The distance is (2 pai r) and displacement is 0
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A cyclist completes n round of a circular track. What will be the distance covered and displacement of the cyclist after completing n rounds if D is diameter of the track?
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