LENGTH OF AN ARC 3

Find radius if the length of an arc of the circle is ^∏/₁₂ cm.

Solution

L= ^∏/₁₂  , r = ?

L = ∏r

    180

^∏/12  = ∏r

            180

180  x ^∏/12  = ∏r  x   180   

                     180

180 ∏  = ∏r 

   12      

                    

180 ∏  = ∏r 

   12∏  ∏

180 ∏  =  r 

    12∏      

180   =  r 

  12      

r = 15cm

Hence radius is 15 cm

TRY THIS………………..

Find radius if the length of an arc of the circle is ^∏/₂₀ cm.