1. A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster wheel. A hamster moves a distance of 10 cm from a position P to position Q. If the diameter of the hamster wheel is 36 cm. Find the measure between 0 and 360 of the central angle (between 0 and 360) to the nearest tenth. Be sure to show and explain all work. 2. Convert the following degrees to radians 15 3. Calculate the arc length (to the nearest hundredth meter) of a sector of a circle with radius 6.3 meters if the sector angle is 70 76.3 meters 448 meters 7.70 meters 4.82 meters 4. A circle has radius 10 cm. Determine (in radians to the nearest hundredth) the measure of the central angle subtended by arc of length 8.7 cm. O.87 radians 1.15 radians O.87 radians 1.15 radians 5. Convert the following radians to degrees. Round to the nearest tenth, if necessary. 5