Unit Circle Angles Degrees and Radians

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Objective

I can convert between degree and radian measures for angles on the unit circle.

Part 1 of 4

Warm-up video

Professor Dave Explains · 6:27Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    Angles can be measured in degrees or radians, with 360 degrees equivalent to radians.

  2. 2

    To convert from degrees to radians, divide by 180 and multiply by π, and to convert from radians to degrees, divide by π and multiply by 180.

  3. 3

    Coterminal angles are angles that share the same terminal side and differ by a multiple of 2π radians or 360 degrees.

Part 3 of 4

Practice

9 questions

1

What is the radian equivalent of 270 degrees?

2

Convert 5π/6 radians to degrees.

Part 4 of 4

Exit ticket

Quick comprehension check

Convert 210° to radians. Show your work.

Sample answer included in the free materials

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