Two semicircles and four tangents. What’s the area of the orange rectangle?
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The hunting horn
Tag: circle
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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 tumbler doll
A circle within an equilateral triangle within a circle. What fraction is shaded?
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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?
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The wheelbarrow
A circle and two semicircles are nested as shown. What’s the proportion of their respective radii a : b : c ?
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Velocipede II
Two circles of area π and 9π respectively are contained in a parallelogram. What’s its area?
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The Pacman principle
In a circle, two congruent chords are connected in a point. A line segment is drawn through the circle center as shown, forming two angles. What is the proportion α : β?
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The velocipede
Two circles are embedded in a frame of size 9 x 8. What is their total area?
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The inner wheel
A wheel is placed inside another that has exactly twice its radius. If the inner wheel rolls around once without slipping, how many revolutions has it completed?
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The shark fin
An isosceles triangle is inscribed in a semicircle with one side along the diagonal and the top vertex somewhere on the semicircle. What’s the maximum fraction shaded?