Geometry

Regular Polygons

Regular Polygons - Area

         

What is the area of a regular hexagon with side length 2?

What is the area of a regular octagon with side length 5?

Use tan22.50.4,tan67.52.4.\tan22.5^\circ\approx0.4,\tan67.5^\circ\approx2.4.

Find the area of a regular decagon whose distance from its center to a vertex is 10.

Use sin180.3,cos180.95.\sin18^\circ\approx0.3, \cos18^\circ\approx0.95.

An nn-gon is a polygon with nn sides. Which of the following represents the area of a regular nn-gon with side length 1?

An nn-gon is a polygon with nn sides. Which of the following represents the area of a regular nn-gon inscribed in a circle of radius 1?

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