The last two problems of the week established that π is less than 4 and greater than 3, and less than 4 and greater than 2 by looking at the ratios of the perimeter/width of a square and the circumference/diameter of a circle, and the area and radius of a circle. We invite you now to use these three figures to reason why pi must be approximately 3.14.

Imagine that you had never been told that π ≈ 3.14. Use Pi Charts 1, 2, & 3 to prove that the value of π ≈ 3.14. Each little box represents 1 square centimeter. The solution will be posted next week.