you can locate the circle by finding it's centre and radius.
Then it's possible to work geometrically from that.
complete the squares for x and y
hence the radius is 2, centre is (2,3)
Referring to the attachment, there are identical triangles
with perpendicular sides of lengths 2 and 3.
Hence the angle at the origin in the triangle on the x-axis is
We can now find the x and y co-ordinates of P.