The diameter of the circle (O), (XY) is 12cm.
Two adjacent vertices of the square (ABCD) lie on the diameter of that circle, while the other two vertices lie on the circumference of the circle.
What is the length of a diagonal of this square (DB)?
(In reply to
What am I doing wrong? by Jimmy Bob)
It's the step from AO and BO being 6cm to the assumption that AB is therefore ~8.49cm. This would only be true if AOB was a right-angled triangle, which I'm afraid it isn't.