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


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






Fig. 1. Central Angle schematic


Formula

Convex Central Angle ( 0 < \Theta < \pi)

Reflex Central Angle ( \pi < \Theta < 2 \pi)

\Theta = \frac{L}{R}

\Theta = 2\pi - \frac{L}{R}

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



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