Two squares share a vertex. What fraction of the area is the overlap region?
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Turning tables
Month: February 2021
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The observatory dome
A semicircle with a radius, a chord and an altitude. What is the angle?
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The hanging door
Two congruent rectangles support a third rectangle. What fraction is blue?
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The PowerPoint
A point lies 8 from the centre of a circle of radius 6. The angle α is variable. What’s the maximum triangle area?
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The kids windmill
Six congruent equilateral triangles placed inside a regular hexagon. What fraction is coloured?
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Tall and wide
An equilateral triangle inscribed in a square. What’s the proportion of the red to the blue area?
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The toucan
Two congruent right triangles inscribed in a circle. The circle centre lies on one of the hypotenuses. What’s the angle?
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Who’s afraid of red, yellow and blue?
Three squares. The top line segment is variable in length. What’s the minimal blue fraction?
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The balance sheet
A unit square and a parallelogram. What’s the area of the latter?
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Mondriaan in maths
Two squares with areas of 1 and 3 are inscribed in a square frame. What’s the angle?