Supermassive black holes are thought to exist in the centers of many galaxies.
What would be the Schwarzschild radii of black holes of 1 million and 1 billion solar masses, respectively in km?
How does the 1-million-solar-mass black hole compare in size with the Sun?
How does the 1-billion-solar-mass black hole compare in size with the solar system?|||Well, lets find out.
Rs = 2MG / C^2
Rs = (2)((1.98e30)(1.0e6))(6.674e-11) / (299792458)^2
Rs = 2.8 * 10^9m or 2.8 * 10^6km
That would be the Schwarzschilds radius for the one with a million solar masses. To find the one with a billion just change (1.0e6) to (1.0e9).|||The relationship between a mass and its Schwarzschild radius is linear. Twice as massive = twice as large; seven times as massive = seven times as large.
One solar mass = (roughly) 2.8 km (one mile and three quarters)
One million solar masses = one million times 2.8 km|||Will did a good job. For quick estimates if the solar mass is known you can use
Accordingly, the Sun has a Schwarzschild radius of approximately 3 km
IE 3km per solar mass
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