Octagon: Difference between revisions

Revision as of 17:11, 8 September 2007

An octagon is an eight-sided polygon.

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

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

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

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

Circumradius: $s\sqrt{1 + \frac{\sqrt{2}}{2}}$

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

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 An '''octagon''' is an eight-[[edge|sided]] [[polygon]].
+==Regular octagons==
+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>2s^2(\sqrt{2} + 1)</math>
+[[Apothem]]: <math>\frac{s(\sqrt{2} + 1}{2}</math>
+[[Inradius]]: <math>\frac{s(\sqrt{2} + 1}{2}</math>
+[[Circumradius]]:  <math>s\sqrt{1 + \frac{\sqrt{2}}{2}}</math>
 {{stub}}