Radius of a regular polygon
A segment that extends from the center of a regular polygon to a vertex. The radius of a regular polygon bisects the vertex angle to which it is drawn.
The radius of a regular polygon is the distance between the center of the polygon and each of its vertices. It is denoted by the letter r and can be calculated using the following formula:
r = s / (2 * sin(π/n))
where s is the length of one side of the polygon, n is the number of sides, and π (pi) is a mathematical constant approximately equal to 3.14159.
Alternatively, the radius can also be calculated using the apothem (the distance between the center of the polygon and the midpoint of a side):
r = a / cos(π/n)
where a is the apothem.
Both formulas will give the same result, but it is important to use the correct formula depending on the information given in the problem.
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