{"knowledge_schema": {"broad_category": "Physics \u2192 Astrophysics \u2192 Black Hole Thermodynamics", "refinement": "This problem involves calculating the entropy of a black hole based on its angular size and distance from the observer, utilizing concepts from general relativity and thermodynamics.", "specific_scope": "The focus is on a supermassive black hole's event horizon, using its angular size and distance to derive its entropy using the relationship between entropy and the area of the event horizon.", "goal": "Determine the order of magnitude of the entropy of the black hole in joules per kelvin (J/K)."}, "summary": "This problem relates to astrophysics and the thermodynamic properties of black holes. It requires calculating the entropy of a supermassive black hole based on its angular size and distance from Earth. By applying the principles of black hole thermodynamics, specifically the relationship between the area of the event horizon and entropy, we can derive the order of magnitude of the black hole's entropy. The answer is found to be approximately 10^62 J/K."}