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Aim: How do we use radian measure? MB43 10/30/08 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  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas What are the units we measure angles in? HW: Read 661-666 Do 667  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas A  radian  is the central angle whose  intercepted arc length equals the radius r r θ The measure of  θ would be 1 radian HW: Read 661-666 Do 667  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas 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 HW: Read 661-666 Do 667  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas 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? HW: Read 661-666 Do 667  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas 180 o  =  π  radians HW: Read 661-666 Do 667  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas Convert into radians 75 o 47 o Convert into degrees π 4 5π 3 radians radians HW: Read 661-666 Do 667  #1-29odd
Aim: How do we use radian measure? MB43 10/30/08 Lomas HW: Read 661-666 Do 667  #1-29odd
 

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Radians T

  • 1. Aim: How do we use radian measure? MB43 10/30/08 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 #1-29odd
  • 2. Aim: How do we use radian measure? MB43 10/30/08 Lomas What are the units we measure angles in? HW: Read 661-666 Do 667 #1-29odd
  • 3. Aim: How do we use radian measure? MB43 10/30/08 Lomas A radian is the central angle whose intercepted arc length equals the radius r r θ The measure of θ would be 1 radian HW: Read 661-666 Do 667 #1-29odd
  • 4. Aim: How do we use radian measure? MB43 10/30/08 Lomas 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 HW: Read 661-666 Do 667 #1-29odd
  • 5. Aim: How do we use radian measure? MB43 10/30/08 Lomas 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? HW: Read 661-666 Do 667 #1-29odd
  • 6. Aim: How do we use radian measure? MB43 10/30/08 Lomas 180 o = π radians HW: Read 661-666 Do 667 #1-29odd
  • 7. Aim: How do we use radian measure? MB43 10/30/08 Lomas Convert into radians 75 o 47 o Convert into degrees π 4 5π 3 radians radians HW: Read 661-666 Do 667 #1-29odd
  • 8. Aim: How do we use radian measure? MB43 10/30/08 Lomas HW: Read 661-666 Do 667 #1-29odd
  • 9.