Question

What is the distance between the following polar coordinates?: `(3,(pi)/4), (2,(7pi)/8)`

Answer 1

Distance between points is `4.19` unit.

Explanation:

Polar coordinates of point A is `r_1= 3 ,theta_1=pi/4`

Polar coordinates of point B is `r_2=2, theta_2=(7pi)/8`

Distance between points `A and B` is

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

`D = sqrt((9+4-2*3*2*cos (pi/4-(7pi)/8))) ~~ 4.19` unit

Distance between points is `4.19` unit [Ans]