Angle at center of circle in Radians

Last updated at July 29, 2026 by

Let us consider a circle of radius r

 

Let Angle subtended by whole circle at center be θ

Length of arc = Circumference of circle = 2πr

 

Angle at center of circle in Radians.jpg

Now,

We know that

θ = l/r

θ = 2πr/r

θ = 2π

 

∴ Angle at center of circle in Radians is 2 π

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Transcript

Let us consider a circle of radius r Let Angle subtended by whole circle at center be Length of arc = Circumference of circle = 2 r Now, We know that = l/r = 2 r/r = 2 Angle at center of circle in Radians is 2

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