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Upward Bound Sample Lesson -- Amir Ahmadi

Upward Bound Sample Lesson -- Amir Ahmadi - I n t r o d u c...

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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 θ Radian Measure radius a r c l e n g t h θ r s rad = θ radius length arc radians in angle = Radian Measure Since the circumference of a circle is _______ , one complete rotation would have arc length of _______. So θ = 1 rotation = 360° = 2 ∏ radians 2 ∏ r 2 ∏ r r r r s rad π θ 2 = = 2 rad s r r r π θ = = Radian Measure So θ = 1 rotation = 360° = 2 ∏ radians So θ = ½ rotation = 180° = ∏ radians Conversion Factor: ° ° 180 180 π π 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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Upward Bound Sample Lesson -- Amir Ahmadi - I n t r o d u c...

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