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Advent calendar 2015

1 December

What is area of the largest area rectangle which will fit in a circle of radius 10?

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crosswords area functions sport partitions algebra means taxicab geometry integration star numbers perimeter chalkdust crossnumber triangles symmetry wordplay circles the only crossnumber parabolas dice palindromes fractions folding tube maps probability coins lines calculus cryptic crossnumbers multiplication integers planes prime numbers cube numbers perfect numbers polygons angles menace digits floors sum to infinity cryptic clues shape sequences cards percentages complex numbers people maths routes square roots clocks games sums doubling triangle numbers addition chess indices digital clocks odd numbers advent spheres logic chocolate elections products quadratics hexagons division books multiples scales ellipses volume grids time christmas money trigonometry arrows surds differentiation factors gerrymandering coordinates 2d shapes dodecagons squares dates averages shapes geometry bases proportion balancing graphs probabilty unit fractions median rugby crossnumbers numbers mean square numbers regular shapes tiling dominos ave crossnumber number colouring remainders 3d shapes irreducible numbers factorials pascal's triangle range speed rectangles

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