Question

define the number \pi and show that 2\pi radian =360°

Answer 1

Answer:

It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π degrees.

In units: Dimensionless with an arc length equal to the radius, i.e. 1 m/m

Unit system: SI derived unit

Unit of: Angle