Parameterizing Circle of Radius 3 Around (3,4)

[Somefantastik]

Homework Statement

Find parameterizations for the circle of radius 3 about the point (3,4)

Homework Equations

The Attempt at a Solution

The circle of radius 3 about the origin looks like cos²t + sin²t = 3

But I can't figure out how to parameterize it around (3,4), any advice?

 

[Office_Shredder]

If you have a circle around the origin, and you want to move it so that it's a circle around the point (3,4) what vector do you have to add to your circle? Think about it in terms of transformations on the plane. Hint: You want the center of the circle around the origin to move to the center of the circle around (3,4)

 

[Somefantastik]

the circle will be (x-3)²+(y-4)² = 9, but how do I parameterize that?

 

[HallsofIvy]

Use the fact that $sin^2 t+ cos^2 t= 1$ for all t.