Q: What is an angle with a vertex at the center of a circle whose sides are the radii of the circle?

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I always called it an arc. It is simply a section of the circle. The ends are determined by the two radii you referenced. Each of the radii start at the center of the circle and end at their intersection with the circle. The portion of the circle that lies between the ends of the two radii is an arc.

Technically there are an infinite number of radii in a circle. A radius is a line from the center of the circle to a point on its edge, and since there are an infinite number of points on a circle's edge there are an infinite number of radii.

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It is the subtended angle of the arc

false

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!

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.

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