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Converting Angle Measures Between Degrees and Radians

Use the sliders to explore angle measures and the conversion formulas between degrees and radians.

Practice Zone

An angle can be measured in radians or degrees. Explain the relationship between these two measurements.

What is the measure in radians of a central angle of 90° in a circle with a radius of 2cm? What about in a circle with a radius of 4cm? What can you conclude?

True or false? The measure of an acute angle in the unit circle is always between and . Justify your answer, providing a counterexample if appropriate.