Question

What is the distance between the following polar coordinates?: `(2,(11pi)/8), (19,(3pi)/8)`

Answer 1

Distance is `21`.

Explanation:

A polar coordinates for two points are `(2,(11pi)/8)` and `(19,(3pi)/8)`.

The argument of first is `(11pi)/8` and other is `(3pi)/8`. The difference between them is `(11pi-3pi)/8=pi` and hence one point is directly opposite the other across origin on the Argand plane.

Hence distance between two points is `2+19=21`