Art of Problem Solving

Octagon: Difference between revisions

I_like_pie (talk | contribs)
mNo edit summary
1=2 (talk | contribs)
No edit summary
 
Line 4: Line 4:
Each internal [[angle]] of a [[Regular polygon | regular]] octagon measures 135 [[degree (geometry) | degrees]], so the sum of the angles is <math>1080^{\circ}</math>.
Each internal [[angle]] of a [[Regular polygon | regular]] octagon measures 135 [[degree (geometry) | degrees]], so the sum of the angles is <math>1080^{\circ}</math>.


[[Area]]: <math>\displaystyle 2s^2(1 + \sqrt{2})</math>
[[Area]]: <math>2s^2(1 + \sqrt{2})</math>


[[Apothem]]: <math>\frac{s(1+ \sqrt2 )}{2}</math>
[[Apothem]]: <math>\frac{s(1+ \sqrt2 )}{2}</math>
Line 14: Line 14:


{{stub}}
{{stub}}
[[Category:Geometry]]

Latest revision as of 19:40, 14 October 2007

An octagon is an eight-sided polygon.

Regular octagons

Each internal angle of a regular octagon measures 135 degrees, so the sum of the angles is $1080^{\circ}$.

Area: $2s^2(1 + \sqrt{2})$

Apothem: $\frac{s(1+ \sqrt2 )}{2}$

Inradius: $\frac{s(1+ \sqrt2 )}{2}$

Circumradius: $\frac{s\sqrt{4+2\sqrt{2}}}{2}$


This article is a stub. Help us out by expanding it.