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Q: What is the center of the angle called?

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The center of an inscribed angle is either a vertex or an endpoint.

central angle

It is called a central angle.

It is just called a "central angle".

Yes, so as long as the angle being identified (in this case, angle b) is in the center.

If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotation symmetry. The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation. This figure has rotation symmetry of 72°, and the center of rotation is the center of the figure:

an angle subtended by an arc is double at the center

That's a "central angle", but the part that really fascinates me is this: What would it look like if you hadan angle whose vertex was in the center of the circle and whose sides didn't intersect ? ? ?

Central angle

central angle

Central Angle An angle in a circle with vertex at the circle's center.

Central Angle.

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