A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?
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The headphones
Month: May 2021
Two similar rectangles. If the small one has area 4 what is the area of the large rectangle?
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The tympanum
A regular pentagon with a diagonal and an extended side. What is the top angle of the isosceles triangle?
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Giro d’Italia
A square with the origin halfway one of its sides. The coordinates of two vertices are given. What is the square’s area?
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The Eye of Horus
A semicircle containing two equilateral triangles containing a circle. What fraction is blue?
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The winged messenger
A semicircle and two quarter circles pass through the same point. What’s the angle α?
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Hard on portside
Two squares and two diagonals. Two areas are given. What is the total area?
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Points of authority
Three squares and three shared vertices. Prove the three red vertices are collinear.
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The swinging pyramid
A regular hexagon and two equilateral triangles share a vertex. What is the area proportion blue : yellow?
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The doors of perception
Two line segments and three rectangles, two of which have a given area. What is the yellow area?