Two squares of area D and J share a vertex while the circle passes through four other vertices. What is the area of the latter in terms of D and J?
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The full circle
Tag: circle
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The crowded house
Three circles are inscribed in a rectangle. What is the area X in terms of A and B?
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Brothers in arms
The tangency points of two tangents of a circle are connected. Three perpendiculars are drawn from a point on the circle, of which two have a given length. What’s the proportion red : yellow?
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The major chord
A circle with four chords. What is the segment length x in terms of lengths a, b and c?
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The molecule
Three semicircles of which two centres are connected to corner points. What is the area X in terms of A and B?
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A close encounter
Two semicircles are tangent to each other’s diameter. Are the line segments connecting their corners parallel?
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The hawfinch
An equilateral triangle with a circle tangent to two sides. The vertices are the tangency points. What is the length proportion of line segments x : y?
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The tipping point
Two touching circles, two diameters and two common tangents. What is the area of the green quadrilateral in terms of radii x and y?
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The wall between us
Two circles inscribed an a trapezium divided by a perpendicular line segment. What is the proportion of its length a and the side b?
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The minor chord
Three chords meet at the same point on the circumference of the circle. A perpendicular line segment divides one of them in two parts of length a and b. Express the length of the smallest chord x in terms of a and b.