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Angle Measures and Conversions: Degrees to Radians

Learn about angles and angle measures, converting between degrees and radians, standard positions, quadrant locations, and coterminal angles. Understand the unit circle and common measures in radians and degrees.

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Angle Measures and Conversions: Degrees to Radians

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  1. Unit 7:Angles and Angle Measures Terminal Side Initial Side Vertex POSITIVE Angle Measure Counter Clockwise Standard Position NEGATIVE Angle Measure Clockwise θ

  2. Degree Radian Radians Degrees Example 1: Converting from Degrees to Radians Example 2: Converting from Radians to Degrees [A] 60°[B] 30° [A] [B] Radian: A unit of measure based on radii of a unit circle. (1 radian ≈ 57°) Usually given in terms of π. 2π radians = 360° π radians = 180° Conversion of Radians and Degrees

  3. Example 3 DRAW an Angle in Standard Position and STATE the QUADRANT of the coordinate plane of the terminal side [C]540° [E] [D]– 910° [F] [A]210° [B]– 45 °

  4. COTERMINAL ANGLES: Example 4 Finding Coterminal Angles (2 positive / 2 negative) [A] 240°[B] Two angles in standard form who share the same terminal side (45° and 405°) How to find coterminal angles:by adding or subtracting multiples of 360° or 2π (Full rotations of circle) [C]- 50°[D]

  5. Unit Circle with Common Measures Circle of radius = 1 PATTERNS: Radians: x’s: y’s:

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