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