central angle

American  

noun

Geometry.

1. an angle formed at the center of a circle by two radii.

---

central angle British  

noun

1. an angle whose vertex is at the centre of a circle

---

central angle Scientific  

/ sĕn′trəl /

1. An angle formed by two rays from the center of a circle, with the center forming the vertex.

---

Etymology

Origin of central angle

First recorded in 1900–05

Example Sentences

See Examples For:

central angle

Find the length of the arc of a circle of radius 10 centimeters subtended by the central angle of 50°.

From Textbooks ● Dec. 1, 2021

Find the length of the arc of a circle of radius 5 inches subtended by the central angle of 220°.

From Textbooks ● Dec. 1, 2021

Recall that, in a circle of radius r, the length s of an arc subtended by a central angle of θ radians is s = rθ.

From Textbooks ● Mar. 30, 2016

Find the length of the arc of a circle of radius 12 inches subtended by a central angle of radians.

From Textbooks ● Feb. 13, 2015

This makes each base angle 72° and the vertical angle 36°, the latter being the central angle of a regular decagon,—essentially our present method.

From The Teaching of Geometry by Smith, David Eugene