I'm looking for a mat that I can use on top of a flatweave rug without it slipping or damaging the rug. Will this do the trick? Also, what is the mat's diameter when rolled up?

Our FlexFit Home Fitness Mat can be used on top of a flatweave rug without slipping. As long as the rug is secured, there shouldn't be any movement. The rolled-up size of the different sized mats can be found in the description section on the product page.