ARC LENGTH 1

Find radius if the length of an arc of the circle is ^2∏/₁₅ cm.

Solution

L= ^2∏/₁₅  , r = ?

L = ∏r

    180

^2∏/15  = ∏r

             180

180  x ^2∏/15  = ∏r  x   180    [multiplying by 180 both sides]

                      180

360 ∏  = ∏r 

     15      

                    

360 ∏  = ∏r 

    15∏  ∏

360   =  r 

    15      

r = 24cm

Hence radius is 24 cm

TRY THIS………………..

Find radius if the length of an arc of the circle is ^7∏/₃₀ cm.