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
What happens to the perimeter of triangle ABC as the two smaller
circles change size and roll around inside the bigger circle?
A and C are the opposite vertices of a square ABCD, and have
coordinates (a,b) and (c,d), respectively. What are the coordinates
of the vertices B and D? What is the area of the square?
The coke machine in college takes 50 pence pieces. It also takes a certain (circular) foreign coin of traditional design.
Coins inserted into the machine slide down a chute into the machine and a drink is duly released.
How many more revolutions does the foreign coin make over the 50 pence piece going down the chute?