Computing Areas of Regular N-Sided
Polygons
Problem
Use the equation solver to store a formula for the area of a regular
N-sided polygon, and then solve for each variable, given the other
variables. Explore the fact that the limiting case is the area of a circle,
2
pr
.
2
Consider the formula A = NB
sin(pàN) cos(pàN) for the area of a
regular polygon with N sides of equal length and B distance from the
center to a vertex.
N = 4 sides
N = 8 sides
N = 12 sides
Procedure
1. Press
to select
from the
menu. Either the
0
0:Solver
MATH
equation editor or the interactive solver editor is displayed. If the
TI-83 Plus
Activities
588