# What is the distance between the following polar coordinates?:  (8,(-23pi)/12), (5,(-3pi)/8)

##### 1 Answer
Feb 13, 2018

$d = = 8.863$

#### Explanation:

The rectangular coordinates of the first point are:
x=8cos((-23pi)/12); y=8sin((-23pi)/12)
$x = 7.727 , y = 2.071$
The rectangular coordinates of the first point are:
x=5cos((-3pi)/8); y=5sin((-3pi)/8)
$x = 1.913 , y = - 4.619$
Distance between the coordinates is given by:
$d = \sqrt{{\left(1.913 - 7.727\right)}^{2} + {\left(- 4.619 - 2.071\right)}^{2}} = 8.863$