Moon Revolves round the earth .
The distance travelled is simply the circumference of circle .
we know that ,
Circumference Of Circle = 2*π*r (where r is radius of Circle)
Here Distance Between earth and moon = Radius of Circle = 385000kms
therefore distance traveled by moon in a month = 2*π*r
= 2*22/7*385000 kms
= 44*55000 kms
Hope this helps You
Thank You !!