What is a radian and how does it compare to degree measure

The video tutorial introduces the concept of radians, explaining how they measure angles using the radius of a circle. It uses a pasta analogy to illustrate how a radius can be wrapped around a circle to form a radian. The tutorial discusses the relationship between radians and π, explaining that π radians equal half a circle and 2π radians equal a full circle. It compares radians to degrees, highlighting the differences in measurement units. The video also covers converting between radians and degrees and introduces the unit circle as a tool for understanding these conversions.

What is the significance of using radians over degrees in mathematical measurements?

Convert 180 degrees into radians and explain the conversion process.

Describe how to convert radians to degrees using an example.