Question

A body covered a distance 6m along a semicircular path. The ratio of the distance to displacement is :Single choice.

(2 Points)

7 : 6

11 : 7

9 : 7

7 : 5

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Answer 1

Answer:

11 : 7

Step-by-step explanation:

πR/2R 22/7÷2 = 11/7

Answer 2

11:7 - option number 3 is correct.

Let R be the radius of the semi-circular path  

 Displacement in semicircular path is the diameter (d)= 2R

distance covered in semicircular path = ∏R

It is given that the body covered a distance of 6m along a semicircular path.

This means,  

distance, 6 = ∏R

So we can figure out that  

R = 6/∏ ... (1)  

 Now,  

displacement = 2R = 2( 6/∏) = 12/∏

 The ratio of distance covered to displacement is,

=  $\frac{distance}{displacement}$=  $\frac{6}{12/\pi }$

Putting  $\pi$ = $\frac{22}{7}$

we get 11:7