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Watch the animation.
Can you explain what is happening?
What do you notice about the numbers that appear towards the end of the sequence?
Can you explain how they vary and why?
What would happen if the dot kept going around the circle increasing the angle beyond 360 degrees?
The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?
Three points A, B and C lie in this order on a line, and P is any point in the plane. Use the Cosine Rule to prove the following statement.