UNO High School Problem of the Week Competition

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Problem 19


Questions or concerns about the problem should be sent to jwarnke@mail.unomaha.edu.

One day after school, you are slicing a 20 inch diameter pizza for a snack. Your first two cuts make a 30 degree slice. You continue making cuts until you have gone around the whole pizza, each time trying to copy the previous slice but accidentally adding 2 degrees each time. In other words, the slices are 30 degrees, 32 degrees, 34 degrees...) What is the area of the smallest slice of pizza?

Solution