Question

What are radians? How do we convert radians to degrees?

Answer 1

A radian is a unit to measure angles.

One turn of a circle has 2π radians in measure.

It's equivalent to a measure of 360 degrees.

π radians are equivalent to 180 degrees, so if we need to convert from radians to degrees, we just multiply by 180 and divide by π.

For example, to convert 2π/3 radians to degrees:

`(2\pi)/(3)\cdot(180)/(\pi)=(360)/(3)=120`

2π/3 radians is equivalent to 120 degrees.