Question

a person walks along a circular path of radius R from A to B as shown in figure given below. The distance covered by the person is :

a)πR/3
b)√3R
c)(1/√3)R
d)R/2​

Answer 1

Answer:

The distance covered by the person is √3R

Explanation:

GIVEN:

             A person walks along a circular path of radius R from A to B as shown in figure .

 R is the radius.

 $x=Rcos 60$°

      =$\frac{R}{2}$  

y=$Rsin60$°

   =$\frac{\sqrt{3}R }{2}$

Let displacement from A to B IN circular path is AB=d

$d^{2} =(R+x)^{2} +y^{2}$

    $=(R+\frac{R}{2} )^{2} +(\frac{\sqrt{3} R}{2} )$

   = $\frac{9R^{2} }{4} +\frac{3R^{2} }{4}$

$d^{2} =3R^{2}$

   $d=\sqrt{3} R$

The distance covered by the person is √3R

The project code is #SPJ3