Question

A circle has a center at `(3 ,0 )` and passes through `(1 ,1 )`. What is the length of an arc covering `(3pi ) /4` radians on the circle?

Answer 1

The length of the arc is `=5.27`

Explanation:

The radius of the circle is

`r=sqrt((1-3)^2+(1-0)^2)`

`=sqrt(2^2+1^2)`

`=sqrt(5)`

The length of the arc is

`s=rtheta=sqrt5*3/4pi`

`=3sqrt5/4pi`

`=5.27`