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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. Negative Angle: Rotate initial side clockwise. Radian Measure: The measure of q (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. Example 1 A central angle q in a circle of radius 12 ft intercepts an arc of length 42 ft. What is the radian measure of q . Degrees and Radians Convert: • Degrees to radians. Multiply by p 180 0 • Radians to degrees. Multiply by 180 p Example 2 Convert each angle in degrees to radians. a. 60 0 b. 270 0 c. -300 0 0 Example 3 Convert each angle in radians to degrees. a. p 4 b. - 4p 3 c. 6 Example 4 Draw the angle in standard form. a. q = 30 0 b. q = - p 4 c. q = 270 0 d. q = 900 0 e. q = 7p 4