A square inscribed in a triangle. Two areas are given. What is the square’s area?
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The hammock
Category: Beginner
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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?
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The partial eclipse
Two circles and a radius connecting their centres. What is the length of the parallel chord?
Four quarter circles of radius 1, each containing a square. What is the blue area?
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The pillbox
Three touching circles in a rectangle and a common tangent. What’s the angle?
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The headphones
A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?
Two similar rectangles. If the small one has area 4 what is the area of the large rectangle?
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The winged messenger
A semicircle and two quarter circles pass through the same point. What’s the angle α?
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The skyscraper
A blue parallelogram with an extended diagonal. What is the proportion green : orange?
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The seventies tipi
An isosceles triangle with two inscribed congruent semicircles. What is the angle α?