Derive Formula for Surface Area of Black Hole

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The discussion focuses on deriving a formula for the surface area of a black hole based on Einstein's theory of general relativity, incorporating the speed of light and Newton's gravitational constant. Participants express uncertainty about how to approach the problem and seek guidance. The Schwarzschild radius is identified as a relevant concept for calculating the surface area, which is likened to that of a sphere. The conversation highlights the need for clarity in understanding the relationship between mass and surface area in the context of black holes. Overall, the thread emphasizes the challenge of applying dimensional analysis to this complex topic.
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Homework Statement



Einstein's theory of general relativity is relativistic model of gravity. "Relativistic" means it involves the speed of light, c; "gravity" means it involves Newton's constant, G. Use dimensional analysis to derive a formula for the surface area, A, of a black hole of mass M, up to a dimensionless proportionality constant.

Homework Equations



N/A

The Attempt at a Solution



I have little idea of how to tackle this question. Any sort of help would be appreciable.
 
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Not sure I follow the question.
The only meaningful surface area I can think of for a black hole is the area of a sphere with the Schwarzschild radius.
 

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