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

1 Answer
Jan 28, 2016

( sqrt(5) pi ) / 3

Explanation:

Please check my solution here for a detailed explanation.

Solution
Radius r = sqrt( (3 - 7)^2 + (2 - 4)^2 ) = sqrt(20) = 2 sqrt(5) .
Arc length S = ( cancel2 sqrt(5) pi ) / ( 3cancel6 ) = ( sqrt(5) pi ) / 3 .