TI-58/TI-59 Week: ML 13 Curve Solution
Introduction
Today's blog entry highlights just one of the wonderful programs offered by Texas Instrument's Master Library.
When the Master Library ROM program module is in the TI-58, TI-58C (for this week I will say the TI-58 to refer to both the TI-58 and TI-58C), and the TI-59, call up the Curve Solution by pressing [ 2nd ] [ LRN ] (Pgm) 13.
The user keys are assigned as:
A: enter the central angle in radians ( θ )
B: enter the circle's radius ( r )
C: enter the arc length ( s )
D: enter the chord length ( c )
E: solve for the sector area ( A' )
A': solve for the central angle ( θ' )
B': solve for the radius ( r' )
C': solve for arc length ( s' )
D': solve for the chord length ( c' )
E': solve for segment area ( a' )
Enter two of the variables θ, r, s, and c and solve for the rest, and at least one of the two variables θ or r must be entered.
Examples
Example 1: Known: r and c
r = 10.8
c = 12.0
[ 2nd ] (Pgm) 13
10.8 [ B ] ( r )
12.0 [ D ] ( c )
[ 2nd ] (A'): 1.17806194 rad ( θ )
[ 2nd ] (C'): 12.72306896 (arc length)
[ E ]: 68.70457237 (sector area)
[ 2nd ] (E'): 14.824706 (segment area)
Example 2: Known: θ and s
[ 2nd ] (Pgm) 13
30° angle: 30 [ ÷ ] 180 [ × ] [ 2nd ] ( π ) [ = ] [ A ] ( θ )
40 [ C ] ( s )
[ 2nd ] ( B' ): 76.39437268 ( r )
[ 2nd ] ( D' ): 39.54463718 ( c )
[ E ]: 1527.887454 (sector area)
[ 2nd ] (E'): 68.86240923 (segment area)
A little detour from our usually programming the calculator ourselves, but it is sometimes more effective and efficient to take advantage of either advanced built in or mainstream modules. Alas, we do return to programming next time,
Eddie
All original content copyright, © 2011-2022. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.
