A circle's center is at #(4 ,1 )# and it passes through #(2 ,4 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?

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Answer 1 · 2016-01-30T00:37:18

#s = pi/3 sqrt(13) #

using distance equation find the radius:
#sqrt((x_2-x_1)^2 - (y_2-y_1)^2)#
#sqrt(4+9) = sqrt(13)#
now arclength #s = rtheta#
#s = pi/3 sqrt(13) #