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?
Month: March 2022
The other half
Three semicircles with diameters a, b and x. Express x in terms of a and b.
The Gouda cheese
A quarter circle with two inscribed squares. What’s the angle α?
Three squares a day
Three congruent squares inscribed in a rectangle. What fraction of the total area is green?
The ice cream cone
A circle tangent to a triangle side and to the two other extended sides. What is its diameter?
Similar intention
A cyclic quadrilateral and two diagonals. What fraction of its area is blue?
Slip slidin’ away
Two congruent squares inscribed in a rectangle with given side lengths. What is the total orange area?
The glass piece
A square and an overlapping isosceles triangle. What is the angle α?
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?
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?