Question

A body moving in circle of radius ‘r’, covers¾thof the circle. Find the ratio of

the distance to displacement.​

Answer 1

Answer:

√2 : 3π /2

Explanation:

Let the starting point of the body be A and the ending point be B.

Let the centre of the circle be O.

If you draw a straight line from A to B, your will form a Triangle AOB

OA=OB= Radius of the circle (r)

Therefore, AOB is an isoceles right angled triangle.

The angle is 90° because the particle traveled 3/4th of the circle and a angle of 270° and hence the Angle O will be 90°

Therefore, AB =√2 OA

AB = r√2

Displacement = r√2

Circumference of the circle =2πr

Body traveled 3/4th if the circle

Therefore, it traveled

3/2πr

Therefore,

Distance = 3πr/2

Hence, ratio of distance to displacement is r√2 : 3πr/2