Question

How many radians are equal to 360 degrees 2 2pi 1 Pi

Answer 1

2pi

Step-by-step explanation:

By definition, 360 degrees are equal to 2π radians.

This follows from the fact that the circumference of a circle is 2π times the radius. Therefore, if radius = 1, then

circumference = 2π

Since the circumference is the distance around a circle, and degrees are the "angular distance " around the circle, these two quantities can be related.

So if you think of the circle in terms of the circumference, a circle measures 2π. If you think in terms of degrees, a circle measures 360 degrees.

Therefore, we say

360 degrees = 2π (radians)