Circular Arc Layout
Inscribed Angle Relationships Inscribed Triangle Formulas
Radius Example 1
Radius = 25
Chord = 4
Chord ÷ 2 = 2
y ² = R ² – x ²
y ² = 25 ² – 2 ²
y = 24.91987
h = Ry
h = 25 – 24.91987
h = .08013
(Side of Jig Triangle) ² = x ² + h ²
(Side of Jig Triangle) ² = 2 ² + .08013 ²
Side of Jig Triangle = 2.00160
Central Angle ÷ 2 = arcsin ( 2 ÷ 25 ) = 4.58857°
Angle at Jig Apex = 180° – 4.58857° = 175.41143°

Radius Example 1
Radius = 50
Chord = 4
Chord ÷ 2 = 2
y ² = R ² – x ²
y ² = 50 ² – 2 ²
y = 49.95998
h = Ry
h = 50 – 49.95998
h = .04002
(Side of Jig Triangle) ² = x ² + h ²
(Side of Jig Triangle) ² = 2 ² + .04002 ²
Side of Jig Triangle = 2.00040
Central Angle ÷ 2 = arcsin ( 2 ÷ 50 ) = 2.29244°
Angle at Jig Apex = 180° – 2.29244° = 177.70756°

Joe Bartok 1