A circle's center is at #(2 ,1 )# and it passes through #(3 ,2 )#. What is the length of an arc covering #(5pi ) /12 # radians on the circle?

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Answer 1 · 2016-03-17T10:19:27

Length of arc covering #(5pi)/12# radian on circle is #1.851#

As the circle's center is at #(2,1)# and it passes through #(3,2)#, the distance between these two points will give the radius.

Hence, radius is #sqrt((3-2)^2+(2-1)^2)=sqrt(1^2+1^2)=sqrt2=1.4142#

Hence, length of arc covering #(5pi)/12# radian on circle is

#(5pi)/12xx1.4142=(5xx3.1416xx1.4142)/12=1.851#