A regular polygon is a convex polygon with all sides congruent and all angles congruent. An apothem is a segment that is drawn from the center of a regular polygon perpendicular to a side of a polygon.
If a regular polygon has an area of A square units, a perimeter of P units, and an apothem of a units then A=½Pa. Note the perimeter can be found by multiplying the number of sides by the length of each side.
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| Apothem=5 |
| Perimeter= 20 |
What is the area of this polygon?
A=½(5)(20)
Answer=50
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