A069976 Interior angle of a regular polygon of n sides, rounded to nearest integer.

60, 90, 108, 120, 129, 135, 140, 144, 147, 150, 152, 154, 156, 158, 159, 160, 161, 162, 163, 164, 164, 165, 166, 166, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 171, 171, 171, 171, 171, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 174

Offset: 3

Author

Kristie Smith (kristie10spud(AT)hotmail.com), Apr 30 2002

Keywords

• easy
• nonn

Examples

			a(5) = (3*180)/5 = 108.
a(720) = 180; the maximum value. - _Robert G. Wilson v_, Mar 16 2016
		

References

• Alexander Koeberlein, Elementary Geometry for College Students, 2nd Edition, Houghton Mifflin Company, Boston, 1999

Crossrefs

Cf. A100659.

Programs

Mathematica

f[n_] := Round[180 (n - 2)/n]; Array[f, 55, 3] (* Robert G. Wilson v, Mar 16 2016 *)

PARI

a(n) = round((n-2)*180/n); \\ Michel Marcus, Aug 27 2013

Formula

a(n) = round(((n-2)*180)/n).

Extensions

More terms from Michel Marcus, Aug 27 2013