What is the polar form of equation x^2+(y-3)^2=9?

1 Answer
Apr 18, 2017

r=6sintheta

Explanation:

The relation between polar coordinates (r,theta) and Cartesian coordinates (x,y) is given by x=rcostheta and y=rsintheta which gives us x^2+y^2=r^2. Hence,

x^2+(y-3)^2=9 can be written as

x^2+y^2-6y+9=9

or r^2-6rsintheta=0

and dividing by r, we get

r-6sintheta=0

or r=6sintheta