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Elena is writing notes about central angles in circles. Help her finish her notes by answering the questions.

a. Where is the vertex of a central angle located in relation to the circle?

b. What line segments related to circles are contained in the rays that form a central angle?

c. How does the measure of a central angle relate to the measure of the arc it is associated with?



Answer :

GinnyAnswer

Final answer:

Central angles in circles involve the vertex at the circle's center, radii as part of the angle, and a direct relation between angle and intercepted arc measures.


Explanation:

Central Angles in Circles

  1. The vertex of a central angle is located at the center of the circle. It is the point where the two rays forming the angle meet.
  2. The line segments related to circles contained in the rays forming a central angle are radii. They connect the center of the circle to the points where the angle intersects the circle.
  3. The measure of a central angle is equal to the measure of the arc it intercepts. This is known as the Arc Central Angle Theorem.

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