Two semicircles and a square. If the smaller diameter is 24, what is the larger?
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The bolete
Month: April 2021
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The Bermuda Triangle
A triangle with an inscribed rectangle. What is the maximum red fraction?
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The mouse and the elephant
Two squares and a semicircle of diameter 4. What is the total square area?
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The green flag
A square of side length 2 shares a vertex with another square that is elongated to form a green rectangle. What is the rectangle area?
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Ray of light
A triangle with an inscribed triangle with a parallel side. What fraction is yellow?
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The washing line
Three squares and three common vertices. Prove that the quadrilateral ABCD is a rectangle.
Two equilateral triangles and a quarter circle that goes through both apexes. If the smaller triangle has area 1, what is the total shaded area?
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The rabbit hole
Three quarters of a unit square placed at the origin are shaded as shown. The remaining quarter is treated similarly but mirrored, and so on to infinity. What are the coordinates of the vanishing point?
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Up and down
A semicircle and a square. Three secants and a tangent form two triangles. What is their area proportion?
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The Chihuahua
A circle and a right triangle. What’s the angle α?