Central Angle of a Circle Formula

The central angle of a circle formula determines the angle formed by two circle radii. A central angle is defined as the angle formed by the arc of a circle at its centre. The arms of the central angle are formed by the radius vectors. Let's look at several examples of the central angle of a circle formula

Central Angle of a Circle Formula

The radius of the circle and measure of the arc length that subtends the central angle at the centre are required to compute the central angle using the central angle formula. The formula for calculating a circle's central angle is as follows:

Central angle -

θ = (Arc length × 360º)/(2πr)degrees

or,

r = radius of the circle.

Central Angle of a Circle Formula1

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Central Angle of a Circle Formula