A circle has a center at #(3 ,0 )# and passes through #(1 ,1 )#. What is the length of an arc covering #(3pi ) /4 # radians on the circle?

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Answer 1 · 2017-06-19T14:20:52

The length of the arc is #=5.27#

The radius of the circle is

#r=sqrt((1-3)^2+(1-0)^2)#

#=sqrt(2^2+1^2)#

#=sqrt(5)#

The length of the arc is

#s=rtheta=sqrt5*3/4pi#

#=3sqrt5/4pi#

#=5.27#