A circle's center is at #(5 ,2 )# and it passes through #(2 ,3 )#. What is the length of an arc covering #(7pi ) /8 # radians on the circle?

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Answer 1 · 2016-01-28T04:17:21

# ( 7 sqrt(10) pi ) / 8 #

Please check my solution here for a detailed explanation.

Solution
Radius # r = sqrt( (2 - 5)^2 + (3 - 2)^2 ) = sqrt(10) #.
Arc length # S = ( 7 sqrt(10) pi ) / 8 #.