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Six circular discs, all of radius 1 unit, are packed in different-shaped boxes so that the discs touch their neighbours and the sides of the box.
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.