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# Area of Regular polygons

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Tutorial

Recall: Area of a polygon is half the product of the apothem and the perimeter.  Since the apothem is always perpendicular to a side of the polygon, we can use special right triangles and trig to help us solve for each value in the formula.

## Regular polygons with special triangles

In special cases (hexagons, triangles, squares) the regular polygon has a built in special right triangle, so we don't need trig to solve for the area and we can solve for it exactly!

## Area of a regular decagon (trig)

Some regular polygons don't have built in special triangles. In these cases we need to use trig to solve for the area!