Radian Measure

 

 

 

Contents

 

Radian & Degree

 

Arc Length

 

Area of Sector

  

Quiz

 

 

Geometry Main Page 

Arc Length

From definition of radian, we have,

q = s/r

s =rq, where q is in radian 

Example 1
 
If q = 2.5 radians and r = 3 cm, find the arc's length
 
Length of arc = rq
                       = 3 x 2.5 cm
                       = 7.5 cm

Example 2
 
The diagram shows part of a circle with radius of r cm. Calculate the value of r and ÐBOC in radian.
 
r = s/q
      = 2.4/1.2
      = 2 
 
    q = s/r
      = 1.4/2
      = 0.7 radian
 
ÐBOC is 0.7 radian.