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?
Three semicircles with diameters a, b and x. Express x in terms of a and b.
A quarter circle with two inscribed squares. What’s the angle α?
Three congruent squares inscribed in a rectangle. What fraction of the total area is green?
A circle tangent to a triangle side and to the two other extended sides. What is its diameter?
A cyclic quadrilateral and two diagonals. What fraction of its area is blue?
Two congruent squares inscribed in a rectangle with given side lengths. What is the total orange area?
A square and an overlapping isosceles triangle. What is the angle α?
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?
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?