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Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

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A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

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Bull's Eye

What fractions of the largest circle are the two shaded regions?

Squaring the Circle

Age 11 to 14 Challenge Level:

Plenty to keep you busy here.

You can see a full quarter of the circle and you can extrapolate from this fairly accurately.