An Overview of Central Angles | Geometry, Central Angle Definition, Circles
What are central angles? What is the definition of central angles? We'll be going over central angles and many related concepts in today's geometry math lesson!
A central angle is an angle whose vertex is the center of a circle. Its rays are usually drawn as radii (plural of radius) of the circle, rather than infinite rays like we might be used to. Alternatively, you can just think of central angles as being an angle that exists between two radii of a circle, with the center as the vertex. Between any two radii of a circle, there are two central angles. There is the central angle that has a measure less than 180 degrees, which is called the convex angle. There is also the central angle that has a measure greater than 180 degrees, which is the reflex angle. The only exception is when there is a central angle of 180 degrees, in which case both angles are straight angles, meaning they both have measures of 180 degrees.
Every central angle cuts two arcs (put simply, an arc is a piece of the circle), and also defines a chord of the circle. A chord of a circle is a line segment whose endpoints are both on the circle. We go even more in depth in the video lesson, so check it out!
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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