After A-levels taken at The College of Richard Collyer. Hobbs read Classics at New Hall, Cambridge. She obtained a 2:1 in Part I and a First in Part II, and gained a PhD in Classical Philosophy, also from the University of Cambridge. After a period as a Research Fellow at Christ's College, Cambridge, Hobbs later became Senior Fellow in the Public Understanding of Philosophy and a lecturer in Philosophy at the University of Warwick. She is a specialist in Ancient Greek philosophy, with a particular interest in ethics, political theory, and moral psychology.
On 20 April 2012, the University of Sheffield announced Hobbs' appointment, effective September 2012, as Professor of the Public Understanding of Philosophy. According to the University of Sheffield, Hobbs' appointment marks the first time a Chair in the Public Understanding of Philosophy has been established in the UK. She is currently working on a translation of Plato's Symposium with a commentary for Oxford University Press.
She is a frequent contributor to TV and radio programmes, including contributions to television shows like BBC Two's Timewatch special "Atlantis: The Evidence" and the National Geographic Channel's "Finding Atlantis", and numerous appearances on the BBC Radio 4 programme In Our Time hosted by Melvyn Bragg. Other programmes include BBC Radio 3 Night Waves and the BBC World Services The Forum.
- Signed entries on ‘The Symposium’ and ‘Women’ in The Continuum Companion to Plato (ed. Gerald A. Press). Continuum, 2012.
- ‘On Christopher Gill on Particulars, Selves and Individuals in Stoic Philosophy’ in Particulars in Greek Philosophy (ed. R.W. Sharples). Brill: Leiden, 2010.
- Signed entries on ‘Virtue, Philosophical Conceptions of’ and ‘Virtue, Popular Conceptions of’ for the Oxford Encyclopedia of Ancient Greece and Rome (Oxford University Press), 2010.
- ‘Socrates’ in Melvyn Bragg (ed.) In Our Time (a collection of transcripts of 26 programmes selected from several hundred). Hodder and Stoughton, 2009.
- Five revised signed entries for the 3rd ed. of the Concise Oxford Dictionary of Politics (ed. I McLean and A. McMillan): Plato; Aristotle; Greek Political Thought; Socrates; the Sophists. Oxford University Press, 2008.
- ‘Plato on war’ in Maieusis, a Festschrift in honour of Myles Burnyeat, edited by D. Scott . Oxford University Press, 2007.
- ‘Plato and psychic harmony: a recipe for mental health or mental sickness?’ in Philosophical Inquiry vol.XXIX no.5 (a special edition dedicated to the relation between ancient philosophy and contemporary bioethics), edited by Ron Polansky and Tony Chu, 2007.
- ‘Female imagery in Plato’ in Plato’s Symposium: Issues in Interpretation and Reception edited by J. Lesher, D. Nails and F. Sheffield. Center for Hellenic Studies, Trustees for Harvard University Press, 2006.
- Plato and the Hero: Courage, Manliness and the Impersonal Good, Cambridge University Press, 2000.
- Entries on Antiphon, Callicles, Thrasymachus and the Nomos/Physis debate for the Routledge Encyclopedia of Philosophy, Routledge, 1998.
- 'Commentary on "Aristotle's Function Argument and the Concept of Mental Illness"', Philosophy, Psychiatry and Psychology 5, 1998, pp. 209–213
- Entries on Plato, Aristotle, Greek Political Theory, Socrates and the Sophists for the Concise Oxford Dictionary of Politics, Oxford University Press, 1996.
- Guardian article Angela Hobbs's new job is to promote public understanding of philosophy. Can she do for her subject what Dawkins did for his?
- "Philosophy for the Masses - A conversation with Angie Hobbs", Ideas Roadshow, 2013