Question 56
In the first circle with diameter $4$ we inscribe a square. In the square we inscribe a new circle. In the last circle we again inscribe a square and repeat the process. What is the diameter of the fourth circle?
(A) $\frac{1}{\sqrt{2}}$ (B) $\frac{1}{2}$ (C) $1$ (D) $\sqrt{2}$ (E) $2\sqrt{2}$
(A) $\frac{1}{\sqrt{2}}$ (B) $\frac{1}{2}$ (C) $1$ (D) $\sqrt{2}$ (E) $2\sqrt{2}$