The point ((2)^½,pi/4) in polars in Cartesian coordinates is (1, 1), which is

the centre of your circle.

The point (1, 0) in polars is (1, 0) in Cartesians, so as the circle passes

through this point it has radius 1.

So The circle is:

(x-1)^2 + (y-1)^2 = 1

RonL

(Try to avoid mixing radians and degrees in the statement on a problem)