Six squares are placed as shown. What’s the angle α?
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What’s your angle?
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Video: Pull the string
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Steam roller
Two intersecting circles. Express the lengths b and the common tangent d in terms of c (the distance between the centres) and the angles β and γ.
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Video: Mother’s umbrella
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Pentagon pleasure
Two regular pentagons. The centre of the large one is a vertex of the small one. What is yellow : green?
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The square sail
A quadrilateral and a parallelogram share two sides, and a vertex from each determine the orange square. The lengths BC, EF, AD are 4,5,7 respectively, where E and F are midpoints of AB and DC. What is the orange area?
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Video: Six six four
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Under the dome
Two semicircles with four squares and a yellow rectangle. What is the aspect ratio of the latter?
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Pull the string
Two regular hexagons and a circumcircle. What is blue : red?
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