Question

How do you convert the Cartesian coordinates (20,3) to polar coordinates?

Answer 1

`sqrt409 /_8,53^@`

Explanation:

Any point `(x,y)` in rectangular form may be converted into polar form `(r, theta)` as follows

`r=sqrt(x^2+y^2)`

`theta=tan^(-1)(y/x)`

Where `theta` is always measured anti-clockwise from the positive x-axis.

So in this case, `r=sqrt(20^2+3^2)=sqrt409`

`theta=tan^(-1)(3/20)=8,53^@`