In 2005 astronomers announced the discovery of a large black hole in the galaxy Mark Arian 766 having clumps of matter orbiting around once every 27 hours and moving at 30,000 km/s.
(a) How far are these clumps from the center of the black hole?
(b) What is the mass of this black hole, assuming circular orbits? Express your answer in kilograms and as a multiple of our sun's mass.
(c) What is the radius of its event horizon?