Online College Courses for Credit

Area of Regular polygons

Area of Regular polygons

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

29 Sophia partners guarantee credit transfer.

311 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


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!