Question

A circle's center is at `(2 ,1 )` and it passes through `(3 ,2 )`. What is the length of an arc covering `(5pi ) /12` radians on the circle?

Answer 1

Length of arc covering `(5pi)/12` radian on circle is `1.851`

Explanation:

As the circle's center is at `(2,1)` and it passes through `(3,2)`, the distance between these two points will give the radius.

Hence, radius is `sqrt((3-2)^2+(2-1)^2)=sqrt(1^2+1^2)=sqrt2=1.4142`

Hence, length of arc covering `(5pi)/12` radian on circle is

`(5pi)/12xx1.4142=(5xx3.1416xx1.4142)/12=1.851`