Problem : How many central angles are there in a regular hexagon, and what is the measure of each?

There are six central angles in a hexagon, all with measure 60 degrees.

Problem : If the apothem of a regular triangle is 3, and the base is 4, what is the area of the triangle?


Problem : A regular polygon has area 40 and apothem 8. What is its perimeter?


Problem : A square has apothem 3. What is its area?


Problem : What is the area of a regular polygon with apothem 6 and side length 12?