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ZingPath: Angles and their Measures

Degree and Radian

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Angles and their Measures

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Degree and Radian


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You will define the concepts of degrees and radians and convert between the two angle measures.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Interpret angles in degrees and radians.
  • Convert the measure of an angle in degrees to radians.
  • Convert the measure of an angle in radians to degrees.

Everything You'll Have Covered

Degree and Radian

The ancient Babylonians were credited with creating the degrees of a circle after studying a certain star's rotation around the North Star. The Babylonians noticed that the star seemed to rotate around the North Star in a perfect circle taking 360 days for a full rotation.

Scientists found that they needed to apply their knowledge of functions from algebra to trigonometry. They needed to write angles as real numbers and not degrees. This is when radian measure was created.

Tutorial Details

Approximate Time 30 Minutes
Pre-requisite Concepts Learners should be familiar with the concept of angles, concept of circles, concept of proportions, angles in standard position, and rounding decimals.
Course Algebra-2
Type of Tutorial Concept Development
Key Vocabulary conversion between angle measures, conversion from degrees to radians, conversion from a radian measure to a degree measure