For any angle θ, the distance from the origin is a constant 2 units. So this is simply a circle, with radius 2.

To convert r = 2 into rectangular coordinates, we use

r² = x² + y²

In this example, r = 2, so r² = 4.

So this gives us: x² + y² = 4

Not surprisingly, this is the same equation for a circcle of radius 2 that we obtained in The Circle earlier.