Question 162
On a sheet of paper, Emanuelle draws two radius circles of radius $1$ that tangent at one point. It then draws a third circumference of radius $1-\sqrt{2}$ that touches the two anterior externally, as shown in the figure below. 
Emanuelle calculates the area of the region limited and exterior to the three circles shown in gray in the figure above. What is the value found by it?
Emanuelle calculates the area of the region limited and exterior to the three circles shown in gray in the figure above. What is the value found by it?