Question

A circle's center is at `(2 ,1 )` and it passes through `(3 ,1 )`. What is the length of an arc covering `(13pi ) /12` radians on the circle?

Answer 1

`L =13/12pi*r = 13/12pi`

Explanation:

By inspection Radius, `r = bar(AB) =1` or you can use the distance formula: `bar(AB) = r = sqrt((2-3)^2 + (1-1)^2) = 1`
Nos the arc length, `L =13/12pi*r = 13/12pi`