Casio fx-3650P: Circular Segment
Introduction
Variables:
X: radius
Y: angle (in degree)
C: chord length
D: altitude
A: area
B: arc length
Program 1: Given Chord Length and Altitude
Calculate: Radius, Angle, Area, Arc Length
? → C : ? → D : Deg :
( ( C ÷ 2 )^2 + D^2 ) ÷ ( 2D ) → X ◢
2 cos^-1 ( ( X - D ) ÷ X ) → Y ◢
X^2 ÷ 2 * ( π Y ÷ 180 - sin Y ) → A ◢
X Y π ÷ 180 → B
Example:
Input C = 8, D = 11.75
X: 6.555851064 (radius)
Y: 284.8004594 (angle)
A: 127.5950317 (area)
B: 32.58720643 (arc length)
Program 2: Given Radius and Angle
Calculate: Chord Length, Altitude, Area, Arc Length
? → X : ? → Y : Deg :
2 * sin(Y ÷ 2) → C ◢
2 X ( sin(Y ÷ 4))^2 → D ◢
X^2 ÷ 2 * ( π Y ÷ 180 - sin Y ) → A ◢
X Y π ÷ 180 → B
Example:
Input X = 17.25, Y = 204
C: 33.74609223 (chord length)
D: 20.83647667 (altitude)
A: 590.2462124 (area)
B: 61.41813638 (arc length)
Source:
John W Harris and Horst Stocker. Handbook of Mathematics and Computational Science Spring: New York. 2006 ISBN 978-0-387-94746-4
Announcement
I am going to have surgery this week and my family is having medical issues. I will be taking some time off in the next few weeks. Tomorrow I have a special post reviewing the classic TI-30 from 1976. Take care everyone and thank you so much for your support. I love doing this blog.
Eddie
All original content copyright, © 2011-2020. 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.
Introduction
Variables:
X: radius
Y: angle (in degree)
C: chord length
D: altitude
A: area
B: arc length
Program 1: Given Chord Length and Altitude
Calculate: Radius, Angle, Area, Arc Length
? → C : ? → D : Deg :
( ( C ÷ 2 )^2 + D^2 ) ÷ ( 2D ) → X ◢
2 cos^-1 ( ( X - D ) ÷ X ) → Y ◢
X^2 ÷ 2 * ( π Y ÷ 180 - sin Y ) → A ◢
X Y π ÷ 180 → B
Example:
Input C = 8, D = 11.75
X: 6.555851064 (radius)
Y: 284.8004594 (angle)
A: 127.5950317 (area)
B: 32.58720643 (arc length)
Program 2: Given Radius and Angle
Calculate: Chord Length, Altitude, Area, Arc Length
? → X : ? → Y : Deg :
2 * sin(Y ÷ 2) → C ◢
2 X ( sin(Y ÷ 4))^2 → D ◢
X^2 ÷ 2 * ( π Y ÷ 180 - sin Y ) → A ◢
X Y π ÷ 180 → B
Example:
Input X = 17.25, Y = 204
C: 33.74609223 (chord length)
D: 20.83647667 (altitude)
A: 590.2462124 (area)
B: 61.41813638 (arc length)
Source:
John W Harris and Horst Stocker. Handbook of Mathematics and Computational Science Spring: New York. 2006 ISBN 978-0-387-94746-4
Announcement
I am going to have surgery this week and my family is having medical issues. I will be taking some time off in the next few weeks. Tomorrow I have a special post reviewing the classic TI-30 from 1976. Take care everyone and thank you so much for your support. I love doing this blog.
Eddie
All original content copyright, © 2011-2020. 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.
