A circle's center is at (7 ,4 )(7,4) and it passes through (3 ,2 )(3,2). What is the length of an arc covering ( pi ) /6 π6 radians on the circle?

1 Answer
Sudip Sinha
Jan 28, 2016

( sqrt(5) pi ) / 3 √5π3

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) r=√(3−7)2+(2−4)2=√20=2√5.
Arc length S = ( cancel2 sqrt(5) pi ) / ( 3cancel6 ) = ( sqrt(5) pi ) / 3 .

Related questions
See all questions in Circle Arcs and Sectors
Impact of this question
1592 views around the world
You can reuse this answer
Creative Commons License