problem
Salinon
Age
14 to 16
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?
problem
Curvy areas
Age
14 to 16
Challenge level
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
problem
Track design
Age
14 to 16
Challenge level
Where should runners start the 200m race so that they have all run the same distance by the finish?
problem
Arclets
Age
14 to 16
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".
problem
Triangles and petals
Age
14 to 16
Challenge level
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?