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Radians and degrees are two units for measuring angles.
Degrees
Degrees are used to measure direction and angle size. If you are facing north, you are said to be at 0°. If you turn the opposite direction to face south, you have turned 180°.
A full circle is comprised of 360°.
Radians
The formal definition of a radian is that a radian is the measure of an angle that, when drawn as a central angle of a circle, intercepts an arc whose length is equal to the length of the radius of the circle. The radian measure for a full circle is 2π. This might look even messier than 360°, but if you follow through on the math, it actually works out. If you remember, the equation for finding the circumference (C) of a circle with radius (r) is C = 2πr. If r = 1, then C = 2π. FIr this reason, 2π is equal to one full revolution around a circle or 360°A circle with a radius of 1 is called a Unit Circle.
Some examples
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