What is Radian?

Last updated at April 16, 2024 by

In higher classes, we don’t use degree to measure angles

We use radians.

 

We define radian in terms of length of arc :

Angle subtended by an arc of 1 unit in a circle of radius 1 unit is 1 radian .

In other words,

  • If length of arc is 1 unit
  • & Radius = 1 unit
  • Then, angle at center = 1 radian

What is Radian.jpg

 

Note: In θ = l/r i.e. length of arc formula,

Angle is measured in radians

 

Transcript

In higher classes, we don’t use degree to measure angles We use radians. We define radian in terms of length of arc: Angle subtended by an arc of 1 unit in a circle of radius 1 unit is 1 radian. In other words, If length of arc is 1 unit & Radius = 1 unit Then, angle at center = 1 radian Note: In θ = l/r i.e. length of arc formula, Angle is measured in radians

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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.