Question

How do you convert the Cartesian coordinates (3,2) to polar coordinates?

Answer 1

I found: `(3.6,33.7°)`

Explanation:

To express the position of your point `P` in polar coordinates you need to supply the length `r` of the segment joining your point to the origin and the angle `theta` formed by this segment with the positive side of the `x` axis:

From Pythagoras Theorem you get:
`r=sqrt(3^2+2^2)=sqrt(9+4)=sqrt(13)=3.6`
From trigonometry you get that:
`theta=arctan(2/3)=tan^-1(2/3)=33.7°`