When I saw this question on the 2015 Common Core Geometry Regents exam, I couldn’t help but think of mathematician and author Steven Strogatz.
Strogatz wrote a popular series on math in the New York Times, and in his piece “Take it to the Limit“, he shares a beautiful and intuitive derivation of the formula for the area of a circle. That technique involves slicing the circle up into sectors and re-arranging them into a shape that approximates a rectangle.
I’m certain his piece inspired this question (which I like), just as it inspired me when I was cutting up my homemade pizza!
Maybe we can add test prep to the long list of reasons to be reading Steve’s work!