Wednesday, October 27, 2010

Lesson 25- Radian


 Find the circumference of a circle with radius = 1:
C= 2πr                                                                
C= 2π1
C= 2π
C= 6.3cm 
Find half a circle:
C180®= 2 π  = πr             C90= πr                    C60= πr            C45= πr
              2                                 2                              3                      4
Definition of Radian:
π= 3.14





Degree:
 Radian:
Radian: (dec)
360°
6.28
180°
π
  3.14                                   -Must know!
90°
π/2
  1.57                                   -Must know!
60°
π/3
1.05
45°
π/4
0.79
30°
π/5
0.57




Degrees → Radians   *find cousins
120° →  2π/ 3       150° → 5π/6     135° → 3π/ 4


1 radian → 57.3°  

Formula of Degrees → Radians or Radians→ Degrees
         π =  180
         r          d


C= Ѳr
C: arc length subtended from part circle    r: radius
Ѳ: standard angle( rads)






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