A square with four quarter circles of which the intersection points are the vertices of a yellow quadrilateral. What fraction of the total area is yellow?
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Square eyes
Tag: area
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The Queen’s chamber
A right triangle with three squares forming a smaller inner triangle. What is the maximal blue fraction?
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Black hole sun
A square containing two quarter circles and a common tangent. What is the proportion yellow : black?
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My two cents
A right triangle is divided in two triangles, one of which is isosceles. The two inscribed circles are congruent. What is the total area?
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The life net
The vertices of a regular hexagon are connected to midpoints of opposing sides. What fraction is red?
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Below the line
Two squares share a vertex at the origin and have their sides along the x- and y-axis. Two vertices lie on the line satisfying x+2y=c. What is the proportion purple : yellow?
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The red planet
A semicircle with a chord and a line segment perpendicular to it. What is the total area in terms of lengths a and b?
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The ocean view
Two squares of variable size share a vertex. What is the maximal blue fraction?
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The pivot table
Two squares share a vertex. What is the proportion purple : green?
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The green trap
A circle with its centre in the origin is cut by two parallel lines that are a distance d apart. One line is passing through the leftmost and one through the lowest point of the circle. What is the area of the green trapezium in terms of d?