A circle's center is at #(7 ,5 )# and it passes through #(5 ,4 )#. What is the length of an arc covering #(5pi ) /3 # radians on the circle?

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Answer 1 · 2016-01-28T04:32:27

# ( 5 sqrt(5) pi ) / 3 #

Please check my solution here for a detailed explanation.

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