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Objective: Convert between degrees and radians. Draw angles in standard form.

Objective: Convert between degrees and radians. Draw angles in standard form. Warm up Fill in the blanks. An angle is formed by two_____________ that have a common point called the ______________ of the angle. Positive Angle: Rotate initial side counter clockwise.

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Objective: Convert between degrees and radians. Draw angles in standard form.

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  1. Objective: Convert between degrees and radians. Draw angles in standard form. Warm up Fill in the blanks. An angle is formed by two_____________ that have a common point called the ______________ of the angle.

  2. Positive Angle: Rotate initial side counter clockwise. Negative Angle: Rotate initial side clockwise.

  3. Radian Measure: The measure of (theta) in radians of a central angle is equal to the ration of the length of the intercepted arc (s) to the radius of the circle.

  4. Example 1 A central angle in a circle of radius 12 ft intercepts an arc of length 42 ft. What is the radian measure of . Degrees and Radians

  5. Convert: • Degrees to radians. Multiply by • Radians to degrees. Multiply by Example 2 Convert each angle in degrees to radians. a. b. c.

  6. Example 3 Convert each angle in radians to degrees. a. b. c. 6

  7. Example 4 Draw the angle in standard form. a. b. c. d. e.

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