Question

What is the distance between the following polar coordinates?: `(1,(2pi)/3), (4,(pi)/6)`

Answer 1

Distance between points is `4.12` unit.

Explanation:

Polar coordinates of point A is `r_1= 1 ,theta_1=(2pi)/3`

Polar coordinates of point B is `r_2=4, theta_2=pi/6`

Distance between points `A and B` is

`D= sqrt(r_1^2+r_2^2-2r_1r_2cos(theta1-theta2)` or

`D = sqrt((1+16-2*1*4 cos ((2pi)/3-pi/6))) ~~ 4.12` unit

Distance between points is `4.12` unit [Ans]