Central angle
Central angle is a type of angle in a circle. It is created by two radii and the center of the circle.[1] A radius is a line segment that goes from the center of a circle to a point on the circle. Because it uses two radii, it always has its vertex at the center of the circle.[1] It is important in circle geometry because it is directly connected to the arc of the circle. It is equal to the measure of its intercepted arc.[2] This means that the number of degrees in It is the same as the number of degrees in the arc it cuts off on the circle. The intercepted arc is the part of the circle that lies between the endpoints of the radii that form it. When it is drawn, it “opens” to form an arc on the circle. The size of the angle and the size of the arc are always the same in measure. It helps connect angles and arcs in circle problems. If it is known, then the arc measure can be found. If the arc measure is known, then it can be found. This is because they are equal to each other. In geometry, it is often used when studying circles and their parts.[2] They help describe how a circle is divided into sections.[1] Each one of it corresponds to a specific arc on the circle. It is different from other angles in a circle because its vertex is always at the center. This is what makes it “central.” Other angles in a circle may have their vertex on the circle or outside the circle, but it always has its vertex in the center point.[2]
References
[change | change source]- 1 2 3 "Central Angle in Geometry - Definition, Formulae, Examples". Cuemath. Retrieved 2026-06-19.
- 1 2 3 https://web.cortland.edu/matresearch/OxfordDictionaryMathematics.pdf