1) A bug rests at the end of a fan blade, 34 cm from the center of the fan. The bug is in the 3 o'clock position on the fan's circle of rotation when the fan begins to turn counter clockwise.
a) If the bug travels 65 cm around the circle from the 3 o'clock position, what angle measured in radians did the fan turn? Round to the nearest hundredth.
b) If the fan rotates 5.9 radians, how many cm does the bug travel along the arc? Give an exact result.