P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus
Two semicircle sit on the diameter of a semicircle centre O of
twice their radius. Lines through O divide the perimeter into two
parts. What can you say about the lengths of these two parts?
Find the perimeter and area of a holly leaf that will not lie flat
(it has negative curvature with 'circles' having circumference
greater than 2πr).
If I print this page which shape will require more
Estimate first making a note of your decision and how you made
How has this shape been created?
How would you get a reliable calculation for the area that needs
Create shapes of your own that look good.
Challenge yourself to calculate their areas.