Question

What is the distance and displacement travelled by a body in covering :- 1) 1/4 of a circle 2) 1/2 of a circle

Answer 1

answer:

distance = actual distance travelled

displacement = shortest distance between initial and final position

so

1.

distace :2πr/4. ( divide circumference in 4 equal parts)

displacement: 2^1/2r. or √2r( By pythagorous theorem)

r2 + r2 = √2r.

okay calculate second part yourself

Answer 2

We know;

Distance=Total length of a body.

Displacement=Shortest route from initial to final position of a body.

SO IN FIRST CASE;

Distance=Circumference of circle/4

=2πr/4=πr/2

Displacement=Radius of the circle.=r

If you take 1/4 th part of a circle then you will see that the radius is the shortest route.

FOR SECOND CASE;

Distance=Circumference of circle/2

=2πr/2=πr

Displacement=Diameter of a circle=2r.

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