Question

A circle's center is at `(5 ,5 )` and it passes through `(2 ,7 )`. What is the length of an arc covering `(7pi ) /8` radians on the circle?

Answer 1

`~= 9.911`

Explanation:

`r=sqrt((5-2)^2+(5-7)^2)=sqrt(9+4)=sqrt(13)`

so length of arc is:

`sqrt(13)xx(7pi)/8 ~= 9.911`