Question

How do you change the rectangular equation `x^2+y^2+8x=0` into polar form?

Answer 1

`r+8costheta=0`

Explanation:

The relation between rectangular Cartesian coordinates `(x,y)` and polar coordinates `(r,theta)` is given by

`x=rcostheta`, `y=rsintheta` and `r^2=x^2+y^2`

Hence `x^2+y^2+8x=0`

`hArrr^2+8rcostheta=0`

or `r+8costheta=0`