How to get [consistent] central angles of a regular polygon?
I created a regular10-gon of fixed side length.
You'd think that the central angle between any of the 10 sides would be 360°/10 = 36°.
But, GeoGebra 188.8.131.52 gives me the following 10, mostly different, central angles when they should all be the same!
36.04°, 36.03°, 36°, 35.97°, 35.96°, 35.96°, 35.97°, 36°, 36.03°, 36.04°.
360°/10 = 36° is the expected, easy, and exact value, so I don't want to tell a youngster that GeoGebra is just having problems with round-off errors.
I know I can force the rounding to be 0 or 1 decimals to force apparent agreement among the 10 central angles, but how could a young student discover that they are really, mathematically, all the same?
Below is another attempt -- and the angles were different again!