The PDF linked below challenges students to analyze characteristics of 2‐dimensional shapes to develop mathematical arguments about geometric relationships. A student must find the sides of squares given the radius of an inscribed and circumscribed circle. The student must be able to compare the ratio of the area of the two squares and of the two circles.
http://www.insidemathematics.org/common-core-math-tasks/high-school/HS-G-2008%20Circle%20and%20Squares.pdf