The phrase "move a circle" can be replaced by several synonyms depending on the context. To rotate a circle can be used if the circle is spinning or turning around. Circulate a circle can be used if the circle is moving around in a particular space or among people. If the circle is being shifted from one point to another, we can use transfer a circle. If there is movement within the circle, "swirl a circle" can be used, and if the circle is being turned inside out, we can use invert a circle. These synonyms can help bring more clarity to your communication and make your message more precise.