Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Regular polygon
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Angles=== For a regular convex ''n''-gon, each [[interior angle]] has a measure of: : <math>\frac{180(n - 2)}{n}</math> degrees; : <math>\frac{(n - 2)\pi}{n}</math> radians; or : <math>\frac{(n - 2)}{2n}</math> full [[turn (geometry)|turns]], and each [[exterior angle]] (i.e., [[supplementary angle|supplementary]] to the interior angle) has a measure of <math>\tfrac{360}{n}</math> degrees, with the sum of the exterior angles equal to 360 degrees or 2Ο radians or one full turn. As ''n'' approaches infinity, the internal angle approaches 180 degrees. For a regular polygon with 10,000 sides (a [[myriagon]]) the internal angle is 179.964Β°. As the number of sides increases, the internal angle can come very close to 180Β°, and the shape of the polygon approaches that of a circle. However the polygon can never become a circle. The value of the internal angle can never become exactly equal to 180Β°, as the circumference would effectively become a straight line (see [[apeirogon]]). For this reason, a circle is not a polygon with an infinite number of sides.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)