All High School Math Resources
Example Question #23 : Geometry
If the area of a regular octagon is 160 and the apothem is 8, what is the side length?
To find the side length from the area of an octagon and the apothem we must use the area of a polygon which is
First plug in our numbers for area and the apothem to get
Then multiply to get
Then divide both sides by 4 to get the perimeter of the figure.
When we have the perimeter of a regular polygon, to find the side length we must divide by the number of sides of the polygon, in this case 8.
After dividing we find the side length is