Two semicircles and four tangents. What’s the area of the orange rectangle?
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The hunting horn
Month: December 2020
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The rubber rotation
Two overlapping rectangles. What is the proportion of their areas? All triangles in the diagram are right.
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The radio telescope
A square contains two triangles. What fraction of the square do they cover?
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The Post-it note
Two unit squares (having side 1) are placed as shown. What is the total perimeter of the two red triangles?
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The warning triangle
An equilateral triangle contains three congruent rectangles. Two distances on its base are given. What fraction is white?
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The goblet of fire
A circle containing two touching semicircles. What is the proportion of the circle diameter a to the line segment b?
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The baby brother
Three small right triangles embedded in a large right triangle. Two of the areas are given. What’s the area of the smallest one?
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The tumbler doll
A circle within an equilateral triangle within a circle. What fraction is shaded?
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The King’s chamber
A pyramid with a square base and sides that are equilateral triangles contains a cube. If the cube is taking maximum space as shown, what is the fraction of its volume to the pyramid’s volume?
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The sundial statement
A triangle is formed by a circle radius and an external point. It is divided by the shown chord. What’s the proportion of the angles α and β?