A circle's center is at #(2 ,7 )# and it passes through #(6 ,4 )#. What is the length of an arc covering #( pi ) /3 # radians on the circle?

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Answer 1 · 2016-01-29T05:45:52

# ( 5 pi ) / 3 #

Please check my solution here for a detailed explanation.

Solution
Radius # r = sqrt( (6 - 2)^2 + (4 - 7)^2 ) = 5 #.
Arc length # S = ( 5 pi ) / 3 #.