Stage: 4 and 5 Challenge Level: 
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A hexagon is inscribed inside a circle.
The sides of the hexagon are alternately $a$ and $b$
units in length.
How big is the radius of the circle?
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Similarity. Circles. Dynamic geometry. Radius (radii) & diameters. Long problems. Isosceles triangles. Maximise/minimise/optimise. Cosine rule. Pythagoras' theorem. Reflections.
Published April 1998,October 2008.
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