Question

What is the distance between the following polar coordinates?: `(8,(-7pi)/12), (5,(-3pi)/8)`

Answer 1

Distance between points is `5.05` unit.

Explanation:

Polar coordinates of point A is `r_1= 8 ,theta_1=-(7 pi)/12`

Polar coordinates of point B is `r_2=5, theta_2=-(3 pi) /8`

Distance between points `A and B` is

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

`D = sqrt((64+25-80*cos (- (7pi)/12-(-3pi)/8))) ~~ 5.05` unit

Distance between points is `5.05` unit [Ans]