### Interactive Arc and Central Angle

$$
\overparen{\rm BC} = \class{data-angle}{56.43}
\\
\angle A = \class{data-angle}{56.43}
$$

Drag Points To Start Demonstration

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The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.

The middle circle in the picture below depicts a central angle because this angle's vertex rests on the center of the circle.

$$
\overparen{\rm BC} = \class{data-angle}{56.43}
\\
\angle A = \class{data-angle}{56.43}
$$

Drag Points To Start Demonstration