Challenge Level

This problem offers students the opportunity to calculate areas of parts of circles and use $\pi$ in calculations.

Challenge Level

This problem offers the opportunity to practise calculating arc lengths, working in terms of $\pi$, and calculating interior angles of regular polygons

Challenge Level

This problem offers an authentic context within which to calculate arc lengths and requires students to present their findings in a convincing manner.

Challenge Level

This shape comprises four semi-circles. What is the relationship between the area of the shaded region and the area of the circle on AB as diameter?

Challenge Level

Each of the following shapes is made from arcs of a circle of radius r. What is the perimeter of a shape with 3, 4, 5 and n "nodes".