Texas Instruments TI-82 STATS Manual Book page 337

Procedure
(continued)
Find the area given
Compare your results with p6
6), which is approximately 113.097.
7. Enter . To find the area
B=6
then press ƒ [
then , then
N=150
as gets large, the area
N
Now graph the equation to see visually how the area changes as
the number of sides gets large.
8. Press z. Select the default mode settings.
9. Press p. Set the viewing window.
Xmin=0
Xmax=200
Xscl=10
10.Press o. Turn off all functions and stat plots. Enter the
equation for the area. Use
styles as shown.
11.Press r. After the graph is plotted, press
trace to . Press
X=100
that as increases, the value of
X
approximately 113.097.
horizontal asymptote to
polygon, with r as the distance from the center to a vertex,
approaches the area of a circle with radius r (pr
large.
, and ,
B=6 N=10 100
2
(the area of a circle with radius
, move the cursor onto
A
]. Find
A
SOLVE
, and finally
N=1000
approaches
A
Ymin=0
Ymax=150
Yscl=10
in place of
X
Í. Press
150
converges to p6
Y
2
(the area of the circle) is a
Y =pB
2
. The area of an N-sided regular
Y
1
, , , and
150 1000
A
for , then
N=10 N=100
. Notice that
N=10000
2
.
pB
Xres=1
. Set the graph
N
Í to
100
Í. Notice
188
2
, which is
2
) as N gets
Applications 17–17
.
10000
, and
,