Trying to work out whether a rectangle will fit within half of a circle. Probably a really simple question, but I am trynig to fit an air bed in a tent.
Circular tent with a diameter of $3$m and a central vertical pole in the middle.
The air bed measures $1.41$ m $\times$ $1.9$ m.
Will the air bed fit fully inside the tent without being obstructed by the central pole?

It won't. Consider a quarter of the circle with half bed. The corner of the bed will be $\sqrt{1.41^2+\left(\frac{1.9}{2}\right)^2}\approx1.7$ meters distant from the tent's center. It's radius is not enough.
