A catapult is used to launch a projectile of mass 30.0kg to hit a target 163.0m away (you can assume the target is at the same height as from where the projectile launches). The catapult is able to launch at any required angle. If the maximum centripetal force the catapult can have is 11596.0N then what is the minimum arm length (radius of circular motion) that the catapult can have to still hit the target? Answer to two decimal places.