A circle with center O is tangent to the coordinate axes and to the hypotenuse of the 30∘-60∘-90∘ triangle ABC as shown, where AB \equal{} 1. To the nearest hundredth, what is the radius of the circle?
[asy]defaultpen(linewidth(.8pt));
dotfactor=3;pair A = origin;
pair B = (1,0);
pair C = (0,sqrt(3));
pair O = (2.33,2.33);dot(A);dot(B);dot(C);dot(O);label("A",A,SW);label("B",B,SE);label("C",C,W);label("O",O,NW);
label("1",midpoint(A--B),S);label("60∘",B,2W + N);draw((3,0)--A--(0,3));
draw(B--C);
draw(Arc(O,2.33,163,288.5));[/asy]<spanclass=′latex−bold′>(A)</span>2.18<spanclass=′latex−bold′>(B)</span>2.24<spanclass=′latex−bold′>(C)</span>2.31<spanclass=′latex−bold′>(D)</span>2.37<spanclass=′latex−bold′>(E)</span>2.41