Four isosceles triangles of base 1 and four of base √2 share their top vertex. What is the proportion brown : gold?
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The chocolate muffin
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Angles galore
Two triangles share a side. What’s the angle β?
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The wall between us
Two circles inscribed an a trapezium divided by a perpendicular line segment. What is the proportion of its length a and the side b?
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Arc de Triomphe
A parabola passing through a square’s bottom vertices and tangent to its top side. What fraction is blue?
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The minor chord
Three chords meet at the same point on the circumference of the circle. A perpendicular line segment divides one of them in two parts of length a and b. Express the length of the smallest chord x in terms of a and b.
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The giant’s shoulder
Two equilateral triangles inside a square. What’s the proportion orange : blue?
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Buddha’s belly
A square containing a quarter circle and a tangent line segment. What is a : b?
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The bubble chamber
A regular hexagon and two semicircles connecting vertices. What’s the angle α between the chords?
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The stuck boulder
A rectangle contains a circle wedged between two triangles. What is the circle radius in terms of triangle heights a and b?
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The ball pool
A square having side length 12 contains a quarter, semi and full circle. The centres of the latter two are connected to the square’s centre to form a green triangle. What is it’s area?