Using QGIS 2.2, I want to move a circle from one specific point to another specific point: How can i grab the exact center of the circle and move it to another location without creating points in the center of the circles?
Welcome to Gis SE. If you want to move objects in QGIS you can use the "Move Feature(s) tool" in the editing toolbox.
Start to edit your layer containing the circles, then click on the circle you want to move and move it to the other position.
After the editing you have to save your changes.
If you want to move the circle to specific coordinates you can have a look at this question: Moving vectors to specified coordinates in QGIS?