Take seven identical coins from your pocket and arrange them on a flat surface, placing one coin in the
center and placing the other six coins around the center coin. You will get the pattern shown in Figure 1.
Are you surprised that the six outer coins fit so perfectly around the center coin with no gaps?
Given the 60 degree angle shown below, you can deduce that the triangle has exactly 180 degrees.
From this triangle you can also deduce that there are exactly 360 degrees in a circle.