Question

How do you convert the rectangular equation `x^2 + y^2 = 6x` to polar form?

Answer 1

`r=6cos(theta)`

Explanation:

`x^2+y^2 = r^2color(white)("XXXXXXXX")`[1]

`x/r = cos(theta)`

`rarr x=r*cos(theta)`

`rarr 6x = 6r*cos(theta)color(white)("XXXX")`[2]

Combining [1] and [2]
`x^2+y^2=6x`

`rarr r^2 = 6r*cos(theta)`

`rarr r= 6cos(theta)`