Question

A body moving in a circle of radius'r'covers 3/4th of the circle. Find the ratio of the distance to displacement

Answer 1

solution.

Here radius is given which is R

so, Circumference of circle = 2pi R

Now, body covers 3/4th of radius so,

distance covered= 3/4* 2 pi R

= 3/2 pi R

Now, displacement= Root 2R [ using Pythagoras theorm]

Now, ration = 3/2 pi R/ root 2 R

= 3/root2 pi : 1

Answer 2

Concept Introduction: Circle is made up of 4 quadrants.

Given:

We have been Given: Circle with radius r , body covers

$\frac{3}{4} th$

of the circle.

To Find:

We have to Find: Ratio of the Distance to Displacement.

Solution:

According to the problem, Circumference of the circle,

$circumference = 2\pi \times r$

therefore, circumference of the

$\frac{3}{4} th$

of the circle is

$\frac{3}{2} \pi \times r$

Now displacement is

$\sqrt{2} r$

therefore the ratio is

$\frac{3}{ \sqrt{2}\pi } : 1$

Final Answer: The Ratio is

$\frac{3}{ \sqrt{2} \pi} : 1$

#SPJ2