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Aim: How do we use radian measure? MB43 3/30/09 Lomas Do Now: What are two different units we can  measure the length of a line in? What is the formula for the circumference  of a circle in terms of it's radius? What is  π ? HW: Read 661-666 Do 667  #5-25odd
Aim: How do we use radian measure? What are the units we measure angles in? MB43 3/30/09 Lomas HW: Read 661-666 Do 667  #5-25odd
Aim: How do we use radian measure? A  radian  is the central angle whose  intercepted arc length equals the radius r r θ The measure of  θ w ould be 1 radian MB43 3/30/09 Lomas HW: Read 661-666 Do 667  #5-25odd
Aim: How do we use radian measure? When working with centimeters  and inches, it is useful to be able  to convert from one to the other. In the same way we would like  to be able to know how to convert  from degrees to radians and vice versa MB43 3/30/09 Lomas HW: Read 661-666 Do 667  #5-25odd
Aim: How do we use radian measure? What is the circumference of a circle that has a radius of 1? So how many radians are in a whole circle? How many degrees are in a whole circle? MB43 3/30/09 Lomas HW: Read 661-666 Do 667  #5-25odd
Aim: How do we use radian measure? 180 o  =  π  radians Convert into radians 75 o 47 o Convert into degrees π 4 5π 3 radians radians MB43 3/30/09 Lomas HW: Read 661-666 Do 667  #5-25odd
Aim: How do we use radian measure? MB43 3/30/09 Lomas HW: Read 661-666 Do 667  #5-25odd

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Radians

  • 1. Aim: How do we use radian measure? MB43 3/30/09 Lomas Do Now: What are two different units we can measure the length of a line in? What is the formula for the circumference of a circle in terms of it's radius? What is π ? HW: Read 661-666 Do 667 #5-25odd
  • 2. Aim: How do we use radian measure? What are the units we measure angles in? MB43 3/30/09 Lomas HW: Read 661-666 Do 667 #5-25odd
  • 3. Aim: How do we use radian measure? A radian is the central angle whose intercepted arc length equals the radius r r θ The measure of θ w ould be 1 radian MB43 3/30/09 Lomas HW: Read 661-666 Do 667 #5-25odd
  • 4. Aim: How do we use radian measure? When working with centimeters and inches, it is useful to be able to convert from one to the other. In the same way we would like to be able to know how to convert from degrees to radians and vice versa MB43 3/30/09 Lomas HW: Read 661-666 Do 667 #5-25odd
  • 5. Aim: How do we use radian measure? What is the circumference of a circle that has a radius of 1? So how many radians are in a whole circle? How many degrees are in a whole circle? MB43 3/30/09 Lomas HW: Read 661-666 Do 667 #5-25odd
  • 6. Aim: How do we use radian measure? 180 o = π radians Convert into radians 75 o 47 o Convert into degrees π 4 5π 3 radians radians MB43 3/30/09 Lomas HW: Read 661-666 Do 667 #5-25odd
  • 7. Aim: How do we use radian measure? MB43 3/30/09 Lomas HW: Read 661-666 Do 667 #5-25odd