1. Your lifelong dream came true and you won a trip to Greece, where you are invited to participate in an archeological dig. You found a piece of broken pottery! Unfortunately, the rest of the plate is nowhere to be found. You would like to reconstruct the rest of the plate, and luckily you know how to do it!

a. Develop and describe a plan for how you will find the center of the circle so that you could reconstruct the plate.

b. Describe how you will find the number of repetitions for the pattern around the plate.