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## Eye of the apple

A circle with an inscribed triangle with an inscribed circle. The centre of the large circle is on the small one. What fraction of the area is blue?

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## The other half

Three semicircles with diameters a, b and x. Express x in terms of a and b.

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## The Gouda cheese

A quarter circle with two inscribed squares. What’s the angle α?

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## Three squares a day

Three congruent squares inscribed in a rectangle. What fraction of the total area is green?

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## The ice cream cone

A circle tangent to a triangle side and to the two other extended sides. What is its diameter?

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## Similar intention

A cyclic quadrilateral and two diagonals. What fraction of its area is blue?

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## Slip slidin’ away

Two congruent squares inscribed in a rectangle with given side lengths. What is the total orange area?

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## The glass piece

A square and an overlapping isosceles triangle. What is the angle α?

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## The red flag

Three squares of which two vertices are connected. If the red triangle has area 1.5 and the green square area 1, what is the side length x?

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## The rings

Four circles and a common tangent. The areas of the green and yellow circle are given. What are the areas of the red and blue circle?