N sided polygon with side length L inscribed in circle diameter D - J E Patterson - jepspectro.com

J E Patterson - jepspectro.com - 20231119

Description

This program returns the length L of one side of an N sided polygon inscribed in a circle of diameter D. The number of polygon sides is stored in register 1. The circle radius is stored in register 2.

Enter Circle diameter D
Press ENTER
Enter Polygon number of sides N
GSB A
Returns the length L of one side of the polygon

Example 1:
Circle diameter 1 metre
Triangle inscribed 3 sides
1
ENTER
3
Result: 0.866025404 = radius * √3 = 0.5*√3

Example 2:
Circle diameter 1 metre
Square inscribed 4 sides
1
ENTER
4
Result: 0.707106781 = radius * √2 = 0.5*√2

Program Resources

Labels

Name	Description
A	Returns the length L of one side of the polygon

Storage Registers

Name	Description
1	Polygon number of sides N
2	Circle radius R

Program

Line	Display	Key Sequence
000
001	42,21,11	f LBL A
002	44 1	STO 1
003	33	R⬇
004	2	2
005	10	÷
006	44 2	STO 2
007	2	2
008	36	ENTER
009	3	3
010	6	6
011	0	0
012	36	ENTER
013	45 1	RCL 1
014	10	÷
015	24	COS
016	2	2
017	20	×
018	30	−
019	11	√x̅
020	45 2	RCL 2
021	20	×
022	43 32	g RTN