# Calculating The Event Horizon of a Supermassive Black Hole

Ok, lets say we wanted to know the diameter of the largest black hole. (Its event horizon) Lets say the universe had contracted and all the galaxies had been consumed by black holes and all merged into one single massive hole.

Say there were approximately 100 billion galaxies, all relatively the same size, and each had an average of 200 billion solar masses. 1 solar mass = 1.9891 × 10^30 kilograms

I believe the formula to calculate the radius of the event horizon is 2GM/c^2

Not being very good with math, perhaps someone would be able to calculate this? Thanks in advance…

I dont know much about black holes, but that equation you gave can be determined by knowing the mass of the black hole, since G and c are both constants. That bothers me a little, that you can calculate length from mass.

pervect
Staff Emeritus
Welcome to the wonderful world of geometric units, where time, length, mass, and even charge can all be expessed in terms of the same unit - usually, cm.

G/c^2 is the conversion between mass and distance, this is most convenient in a unit system where G=c=1