If the ratio of a circle's sector to its total area is 3/11, what is the measure of

its sector's arc?

6πr/11.

Step-by-step explanation:

The length of the arc = rC where C is the central angle of the sector in radians and r = the radius.

C = (3/11) * 2π

= 6π/11 radians.

So the measure of the arc = 6πr/11.