This problem offers students the opportunity to calculate areas of parts of circles and use $\pi$ in calculations.
This problem offers the opportunity to practise calculating areas of circles and fractions of a circle in the context of an optimisation task.
This problem offers the opportunity to practise calculating arc lengths, working in terms of $\pi$, and calculating interior angles of regular polygons
This problem offers an authentic context within which to calculate arc lengths and requires students to present their findings in a convincing manner.
In the four examples below identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?