Question

What is the distance between the following polar coordinates?: `(4,(-19pi)/12), (2,(-3pi)/8)`

Answer 1

Distance between points is `5.72` unit

Explanation:

Polar coordinates of point A is `r_1= 4 ,theta_1=(-19pi)/12`

Polar coordinates of point B is `r_2=2, theta_2=(-3pi)/8`

Distance between points `A and B` is

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

`D = sqrt((16+4-16*cos ((-19pi)/12-(-3pi)/8))) ~~ 5.72` unit

Distance between points is `5.72` unit [Ans]