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
Now,
We know that
θ = l/r
θ = 2πr/r
θ = 2π
∴ Angle at center of circle in Radians is 2 π
Last updated at Dec. 16, 2024 by Teachoo
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
Now,
We know that
θ = l/r
θ = 2πr/r
θ = 2π
∴ Angle at center of circle in Radians is 2 π
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
About the Author
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 and Computer Science at Teachoo