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I don't understand how this equation calculates angle for hexagons...

by poetryrocksalo
Tags: angle, calculates, equation, hexagons
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poetryrocksalo
#1
Nov26-13, 08:17 PM
P: 2
Hi, I'm learning how to program and I've been studying graphics.

This quote from a programmer confuses me (the quote is a hyperlink to my source):
How does 2pi/n calculate the angle of two vertices relative to the center of a hexagon? I try to plug in some values to test it and the resulting angle is 1.047 degrees which is extremely small and I think I'm misunderstanding the answer.

I have a diagram in my book that also states that the above equation is the angle. I also tested my code (the angle is only a small part of it) and my drawHexagon app works. However, when I do the math, the angle from the center of the hexagon is always 1.047 degrees and that doesn't make sense to me.

Shouldn't the central angle be 60 degrees given that a hexagon has 6 sides?
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lurflurf
#2
Nov26-13, 08:43 PM
HW Helper
P: 2,264
The angles are being measured in radians.
2pi radians=360 degrees.
1.047 radians=60 degrees.
poetryrocksalo
#3
Nov26-13, 08:48 PM
P: 2
Quote Quote by lurflurf View Post
The angles are being measured in radians.
2pi radians=360 degrees.
1.047 radians=60 degrees.
Thank you. I really need to brush up on my math.


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