Question

12) Fill in the blanks for the angle measures associated with a full circle:

_______ radians = ______°

Answer 1

Think of a circle with radius 1

This circle has a circumference of

C = 2*pi*r

C = 2*pi*1

C = 2pi

So 360 degrees, aka a full revolution of a complete circle, is equal to 2pi radians.

You can cut each part in half to get

2pi radians = 360 degrees

pi radians = 180 degrees