What is a central angle of a circle

The video tutorial explains the basic properties of a circle, focusing on the concept of a central angle. It describes how a circle is defined by a center point and equidistant points forming its boundary. The tutorial introduces angles, vertices, and the specific case of central angles, where the vertex is at the circle's center and the sides are radii. The characteristics of central angles are discussed, emphasizing their geometric properties.

What is the defining characteristic of a circle?

• It has no center.

• It has a center point with points equidistant from it.

• It has three sides.

• It is a polygon.

What is a vertex in the context of angles?

• The midpoint of a line segment.

• The center of a circle.

• The endpoint of a ray.

• The point where two rays meet.

Where is the vertex located in a central angle?

• On the circumference of the circle.

• Outside the circle.

• At the center of the circle.

• At the edge of the circle.

What are the sides of a central angle called?

• Radii

• Chords

• Diameters

• Tangents

Which of the following is true about a central angle?

• It has no relation to the circle's center.

• Its vertex is at the center of the circle.

• Its sides are chords of the circle.

• Its vertex is outside the circle.