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

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Answer 1 · 2016-01-28T04:33:34

$( sqrt(10) pi ) / 4$

Please check my solution here for a detailed explanation.

Solution
Radius $r = sqrt( (4 - 1)^2 + (3 - 2)^2 ) = sqrt(10)$ .
Arc length $S = ( sqrt(10) pi ) / 4$ .

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