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

3,1

References

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

Links

Table of n, a(n) for n=3..56.

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A100659.

Sequence in context: A086975 A357686 A100659 * A110546 A335140 A335201

Adjacent sequences: A069973 A069974 A069975 * A069977 A069978 A069979

Keyword

easy,nonn

Author

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

Extensions

More terms from Michel Marcus, Aug 27 2013

Status

approved