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Unformatted text preview: I n t r o d u c t i o n t o R a d i a n M e a s u r e Opening Question How fast is Tigger? Jumping in circles Warm Up What is: Circumference of a circle with diameter D=1? Radian Measure Place an angle with the vertex at the center of a circle. Radian Measure An angle measured in radians is the ratio of the arc length of the circle to the radius of the circle. radius a r c l e n g t h Radian Measure radius a r c l e n g t h r s rad = radius length arc radians in angle = Radian Measure Since the circumference of a circle is _______ , one complete rotation would have arc length of _______. So = 1 rotation = 360 = 2 radians 2 r 2 r r r r s rad 2 = = 2 rad s r r r = = Radian Measure So = 1 rotation = 360 = 2 radians So = rotation = 180 = radians Conversion Factor: 180 180 or Radian Measure In the same way 144 inches can be converted to 12 feet or 4 yards by 30 can be converted to radians by ( 29 ( 29 yards inches...
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This note was uploaded on 03/09/2012 for the course MATH 499 taught by Professor Chatham during the Spring '12 term at Morehead State.
 Spring '12
 Chatham

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