Faiza is in a dark room. She turned on her torch and directly aimed it downwards. As a result, she saw a circular region of 6 cm diameter being lit by the torch and also saw a similar shaped light region on the ceiling. Her torch's lense's diameter is 2cm. The room is 2 meters high and the torch is 1 m above the ground. What is the diameter of the light region on the ceiling in cm?