The circumference of a circle is 6piπ m. Find its diameter, in meters.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

In this case, the circumference is given as 6π m. Therefore, we have 6π = 2πr.

Dividing both sides of the equation by 2π, we get:
6π / 2π = 2πr / 2π
3 = r

The radius of the circle is 3 meters.

To find the diameter, we need to double the radius:
D = 2r = 2(3) = 6 meters.

Therefore, the diameter of the circle is 6 meters.