Definition of Central Angle
The angle in a circle whose vertex is the center of the circle is called the Central Angle.
Example of Central Angle
- In the figure shown, O is the center of the circle and angle POQ is the central angle.
Video Examples: Inscribed and Central Angles
Solved Example onCentral Angle
Ques: A circle is divided into 4 congruent sectors and then each of them is divided into 3 congruent sectors as in the figure. What is the measure of the central angle POQ in degrees?
Correct Answer: D
Step 1: Central angle of each sector = (360/12)° = 30°
Step 2: Measure of the central angle POQ is 2(30) = 60.