Octagon: Difference between revisions

Latest revision as of 19:40, 14 October 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: $2s^2(1 + \sqrt{2})$

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.

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-An octagon is an eight-sided [[polygon]].
+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(1 + \sqrt{2})</math>
+[[Apothem]]: <math>\frac{s(1+ \sqrt2 )}{2}</math>
+[[Inradius]]: <math>\frac{s(1+ \sqrt2 )}{2}</math>
+[[Circumradius]]:  <math>\frac{s\sqrt{4+2\sqrt{2}}}{2}</math>
+{{stub}}
+[[Category:Geometry]]