Texas Instruments TI-83 PLUS - Manual (Page 594)

TI-83 Plus Activities 591
11. Press r . After the graph is plotted, press 100
Í to trace to
X=100 . Press 150
Í . Press 188
Í . Notice that as X increases,
the value of Y converges to p 6 2 , which is approximately 113.097.
Y 2 = p B 2 (the area of the circle) is a horizontal asymptote to Y 1
. The
area of an N-sided regular polygon, with r as the distance from the
center to a vertex, approaches the area of a circle with radius r (
p r 2 )
as N gets large.