Computing Areas Of Regular N-Sided Polygons - Texas Instruments TI-84 PLUS - Graphing Calculator Manual Book

5. Press r. Notice that although the three graphs defined by
same derivative.

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
2
of a circle, pr .
Consider the formula A = NB
equal length and B distance from the center to a vertex.
N = 4 sides
Procedure
1. Press  t
interactive solver editor is displayed. If the interactive solver editor is displayed, press } to
display the equation editor.
2. Enter the formula as
editor is displayed.
3. Enter and
N=4 B=6
6 centimeters.
4. Press } } to move the cursor onto
displayed on the interactive solver editor.
2
sin(pàN) cos(pàN) for the area of a regular polygon with N sides of
N = 8 sides
N = 12 sides
to select from the
B B:Solver
2
0=A N NB sin( p / N)cos(
to find the area ( ) of a square with a distance (
A
, and then press ă \. The solution for
A
Y5
menu. Either the equation editor or the
MATH
, and then press Í. The interactive solver
p / N)
Chapter 17: Activities
are different, they share the
) from center to vertex of
B
is
A
321