Stage: 4 Challenge Level: 
You are given a circle with centre O. Describe how to construct with a straight edge and a pair of compasses, two other circles centre O so that the three circles have areas in the ratio 1:2:3.
Pythagoras' theorem. Mixed trig ratios. Straight edge & compass constructions. Long problems. Circle theorems. Stage 5 needs dealing with. Cosine rule. Circles. Right angled triangles. History of mathematics.
Published February 2004.
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