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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smartphone. Factors and multiples. Maximise/minimise/optimise. Long problems. Cosine rule. Radius (radii) & diameters. Working systematically. Pythagoras' theorem. epsilons. Isosceles triangles.
Published April 1998,October 2008.
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