Thread: Circumscribe a square about a semicircle!

Thanks!

Hello, Jammix!

Is there any more information?
I suspect that I know the solution . . . but it's only a guess.

Circumscribe a square about a semicircle.

Code:

                R
    B * - -.-.*.o.*.-.- * C
      |  .*:::::|:::::*.|
      | *:::::::|:::::::o S
      |*::::::::|:::::* |
      |:::::::::|:::* r |
      *:::::::::|:*     *
    Q o:-:-:-:-:O - - - o
      *:::::::* :       *
      |:::::*r  :       |
      | ::*     :       |
    A * o - - - * - - - * D
        P       E

Square is circumscribed about the (tilted) semicircle.
The circle has center and radius

is an isosceles right triangle.
Hypotenuse

Let , the side of the square.

Then: .

Therefore: .

Can you give me the steps in which you constructed that? Thanks!

Correction: . is an isosceles right triangle.

(I was not allowed to edit my post. Why?)