Geometry

# 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 $$\tan22.5^\circ\approx0.4,\tan67.5^\circ\approx2.4.$$

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

Use $$\sin18^\circ\approx0.3, \cos18^\circ\approx0.95.$$

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

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

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