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 Radians What are radians? Why use them? Converting between degrees and radians. The basic trig functions using radians. Solving 1 stem trig equations using radians - using features of the graph and using the unit circle method. Ex 33.01 Radians and conversions Ex 34.03 Solving trig Eqns with radians Ex 34.04 More Practice p154 & p155

Angles can be measured in Degrees or Radians.

A Radians is: the angle made by taking the radius and wrapping it along the edge of the circle:

 So, a Radian "cuts out" a length of a circle's circumference equal to the radius.

## There are 2π radians in a full circle

In other words, if you cut up pieces of string exactly the length from the center of a circle to its edge, how many pieces would you need to go around the edge of the circle?

Because the radian is based on the pure idea of "the radius being laid along the circumference", it gives simple and natural results to many angle-related mathematics.

So, degrees are easier to use in everyday work, but radians are much better for mathematics