Question

A car goes from one end to other end of a semi circular path of radius d. Find ratio between path length and displacement.

A) 3π/2 B) π C)2 D) π/2

Answer 1

ANS: (B) 22/7 (pi)

SOL:

We know displacement is basically the shortest path travelled by an object so the shortest path from One End of the semi circle to the other end is its Diameter.

So let's find D

WKT, 》D=2r
》D=2d ...... (i) ; r=d meters

Now the actual path traveled or the path length is equal to the circumference of the semicircle

So Cf= 2×22/7×d ......(ii)

Now the Ratio;

》2×22/7×d : 2d
》22/7 or pi