- a regular hexagon consists of 6 equilateral triangles and therefore the radius of the circumscribed circle of the hexagon has the same length as the side of the hexagon.
- The area of a regular hexagon is determined by:
If you have a regular n-gon then this shape consists of n isosceles triangles with the radius of the circumscribed circle as legs and the side of the n-gon as base. The half of such an isosceles triangle is a right triangle. Assuming that n and r are known thenI know everything else to solve this but...I need to know:
a. how to solve for the area of a hexagon? (or for any other polygon for future reference since our instructor said we'd be facing more problems like this)
The area of one triangle is consequently:
Then the area of a regular n-gon is: