A circle's center is at (7 ,4 ) and it passes through (8 ,2 ). What is the length of an arc covering ( pi ) /6 radians on the circle?

1 Answer
Salvatore I.
Nov 5, 2016

root2(5)pi/6

Explanation:

The radius is AP=root2((7-8)^2+(4-2)^2)=root2(5)

As the by definition an angle in radiants is exactly the ratio between the arc and the radius of the circumference where that arc is determined by that angle itself, we pi/6=("circular arc")/R.
As a result the arc length is "circular arc"=R*pi/6

Related questions
See all questions in Circle Arcs and Sectors
Impact of this question
1558 views around the world
You can reuse this answer
Creative Commons License