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# Puzzles

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## Dartboard

Permanent link to this puzzle: mscroggs.co.uk/puzzles/52
Concentric circles with radii 1, $$\frac{1}{2}$$, $$\frac{1}{3}$$, $$\frac{1}{4}$$, ... are drawn. Alternate donut-shaped regions are shaded.
What is the total shaded area?
If you enjoyed this puzzle, check out Sunday Afternoon Maths LXI,
puzzles about circles, or a random puzzle.