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It is the subtended angle of the arc

Q: What do you call the angle whose vertex is at the center of the circle and whose sides are the radii of the circle?

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It is a straight angle.

The angle can have any value in the range [0, 360) degrees.

It is called the central angle. Hope that helped!

A central angle has its vertex at the center of a circle, and two radii form the Arms. Central angle AOC is described as subtended by the chords AC and by the arc AC. An inscribed angle has its vertex on the circle, and two chords form the arms. Inscribed angle ABC is also described as subtended by the chord AC and by the arc AC.

No. A sector is bounded by part two radii and part of the circumference.

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It is a straight angle.

A central angle.The section of the circle formed by that angle and the part of the circle (the part being the circumference) between the radii is called a sector.

The angle can have any value in the range [0, 360) degrees.

It is called the central angle. Hope that helped!

It can be any angle above zero and below 180 degrees. When it becomes 180 degrees then the two side will be a straight line. It is also defined as the included angle of a circular sector.

A central angle has its vertex at the center of a circle, and two radii form the Arms. Central angle AOC is described as subtended by the chords AC and by the arc AC. An inscribed angle has its vertex on the circle, and two chords form the arms. Inscribed angle ABC is also described as subtended by the chord AC and by the arc AC.

No, because if a circle has a set amount of sides, then it must have a certain amount of angles, reguiring the vertex of the angle to be farther from the center than say,the midpoint of its adjacent angle. This violates a criterion of a circle, because not all (no matter how small the difference is) radii are equidistant from the center.

All the radii of a circle are of equal length. The radius is the distance from the center of the circle to the out edge. Having equal radii is what defines a circle.

sides

radii

central angle central angle