Angle at center of circle in Radians

Last updated at April 16, 2024 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

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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.