Question

How do you convert `x^2 + y^2 - 8y = 0` in polar form?

Answer 1

`r = 8sintheta`

Explanation:

Using the formulae which links Polar and Cartesian coordinates :

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

`rArr x^2+ y^2 - 8y =0`

can be rewritten as :`x^2 + y^2 = 8y rArr r^2 = 8r sintheta`

(and dividing both sides by r ) obtain:

`r = 8sintheta`