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Regular Polygons

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

Properties of Regular Hexagons

         

The above diagram is a regular hexagon. If the length of \(\overline {AB}\) is \(19,\) what is the area of \(\triangle CDE ?\)

The three hexagons in the above diagram are regular hexagons. If the side length of each hexagon is \(23,\) what is the length of \(\overline {DK} ?\)

A regular hexagon has side length \( 8\) cm. What is the perimeter (in cm) of the hexagon?

Point O is the center of the above regular hexagon. What is the area of quadrilateral \(CDEF\) when the area of triangle \(AOF\) is \(3?\)

The above diagram is a regular hexagon. What is the area of \(\triangle ACE\) when the side length of the regular hexagon is \(21?\)

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