GLOSSARY

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The angle between two radii stemming fro the same point (Fig. 1).


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Value range
RadiansDegree
0 < Θ < 2π0° < Θ < 360°






Fig. 1. Central Angle schematic



Formula

Convex Central Angle (

LaTeX Math Inline
body0 < \Theta < \pi
)

Reflex Central Angle (

LaTeX Math Inline
body\pi < \Theta < 2 \pi
)

LaTeX Math Inline
body\Theta = \frac{L}{R}

LaTeX Math Inline
body\Theta = 2\pi - \frac{L}{R}

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Fig. 2. Convex Central AngleFig. 3. Reflex Central Angle