Question

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

Answer 1

`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((1.913-7.727)^2+(-4.619-2.071)^2)=8.863`