Question

Using complete sentences, define and compare radian measure to degree measure. In doing so, be sure to answer each of the following questions:

When would degree measure be appropriate?
When would radians be a better choice?
What are the pros and cons of each?

Answer 1

So the question is asking to define and compare radian measure to degree measure, and base on my further research and further understanding about the said topic, the answer would be the following:
#1 in calculating arc length, the angle MUST be in radians.
#2 in formulas such as that for area of a circle (A = pi*r^2), pi (a measure of central angle) is already in radians.
#3  in Calculus (which you may or may not study later on), angles are commonly expressed in radians and not in degrees.