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 tipping point
Tag: quadrilateral
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Square eyes
A square with four quarter circles of which the intersection points are the vertices of a yellow quadrilateral. What fraction of the total area is yellow?
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Colour confinement
A semicircle with three tangent line segments. What is its area in terms of lengths a and b?
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The Sikh turban
A regular hexagon containing an orange quadrilateral. What fraction of the total area is blue?
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The green quad
Three semicircles and a circle all touching each other. The diameters of the two smallest semicircles are given. The large triangle connects three tangency points. What is the area of the green quadrilateral?
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The colour purple
A rectangle is split by two perpendicular lines. The four circles pass through vertices and intersection points. Their centres form a purple quadrilateral. What fraction of the large rectangle area does it cover?
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The stained glass
Two congruent rectangles are placed side by side. Two line segments form two coloured quadrilaterals and three triangles. What is the proportion purple : green?
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The fez
A circle and a semicircle inside a square. What’s the length proportion of the two chords?
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The orange belt
Three squares and three shared vertices. Prove that the orange quadrilateral is in fact a parallelogram.
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The green field
A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?