Question

A circle's center is at `(9 ,4 )` and it passes through `(1 ,6 )`. What is the length of an arc covering `(2pi ) /3` radians on the circle?

Answer 1

`=17.2` unit

Explanation:

radius of the circle `r=sqrt((9-1)^2+(4-6)^2)=sqrt68`
angle subtended buy arc at center`(theta=2pi/3)`

Arc langth `S=rxxtheta=sqrt68xx2xxpi/3=17.2`