central angle

American  

noun

Geometry.

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

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central angle British  

noun

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

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central angle Scientific  

/ sĕn′trəl /

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

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Etymology

Origin of central angle

First recorded in 1900–05

Example Sentences

Find the length of the arc of a circle of diameter 12 meters subtended by the central angle is 63°.

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

One radian is the measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.

From Textbooks • Feb. 13, 2015

A sector of a circle has a central angle of and a radius 6 cm.

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