The window is half a circle. We know that the perimeter of a full circle is:
[tex]P=\pi D[/tex]Where D is the diameter of the circle. Since we only have half of the circle the perimeter of our window will be:
[tex]P=\frac{\pi D}{2}[/tex]We need to find the diameter of the circle, from the picture we conclude the diameter is 40 cm (since the diameter is twice the radius).
Then our perimeter is:
[tex]P=\frac{\pi\cdot40}{2}=62.8[/tex]Therefore the perimeter of the window is 62.8 cm.