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# Regular Polygons

With equal angles and equal side lengths, what more could you want from a polygon?

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 \(\tan22.5^\circ\approx0.4,\tan67.5^\circ\approx2.4.\)

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

Use \(\sin18^\circ\approx0.3, \cos18^\circ\approx0.95.\)

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