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TI-83 Plus Activities 588
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,
p
r
2
.
Consider the formula A = NB
2
sin(
pà
N) cos(
pà
N) 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
0
to select
0:Solver
from the
MATH
menu. Either the
equation editor or the interactive solver editor is displayed. If the