You can find polygons almost anywhere in daily life. A very common example that you see every day is a stop sign, the screen on your computer, the wall of a house, posters on a window, etc.
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circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
Yes. (see image link)
Triskaidecagon or Tridecagon
A pentadecagon* has fifteen sides.* See Related links below.
I'd have to see one first. So far, no polygon I've ever seen had more sides than angles.