What is the length of the apothem?

The apothem is a line segment that is drawn from the center of a regular polygon to the midpoint of one of its sides, forming a right angle with that side. The length of the apothem can be calculated using the formula:

apothem = side length / (2 * tan(180 degrees / number of sides))

where the side length is the length of one of the sides of the regular polygon and the number of sides is the total number of sides in the polygon.

The length of the apothem is important in calculating the area of the regular polygon using the formula:

area = (perimeter * apothem) / 2

Knowing the length of the apothem can help determine the size and proportions of the regular polygon.