The phrase "circles debate" is correct and usable in written English.
You can use it to refer to a situation when two parties are discussing an issue or topic. For example: "The circles debate over the new school regulations was intense, with neither side willing to compromise."
A home-schooled student who's also an intern at NASA's Goddard Space Flight Center in Greenbelt, Maryland, Alex Isaacs always circles debates like this on her calendar.
As ever we are going to be sent running in circles, debating amongst ourselves what means what, and most likely being laughed at by an entire production team.
Still, her inner circle debated how to grapple with the question of gender.
A group of young, predominantly black young people are sitting in a semi-circle debating the strengths and weaknesses of a film script about a fictional girl gang, set amid the seedy tower blocks of East London's under-class.
In the Mersenne circle, debates ranged over numerous topics central to the dismantling of Aristotelian and Scholastic world-views, and Mersenne often used his role as facilitator to bring together opponents on these issues.
Academic circles may debate whether Mr. Zizek is a legitimate philosopher or merely an especially learned and witty synthesizer.
After simmering in academic circles, the debate recently spilled into popular newspapers, a rarely permitted occurrence for a topic so politically charged, perhaps indicating that some high officials also harbor doubts about the controls.
In most circles, the debate instantly became whether Suh's hit was legal (the N.F.L. has weighed in that it was, and Suh will not be fined) because Suh has spent his career tap dancing along the line between legal and illegal hits.
In academic circles, the debate has historically been centered on what kind of computing hardware and software would enable intelligent machines.
