An equilateral triangle with an altitude. Two of its sides form the radii of the circular sector. What fraction of the area is covered by the red circle?
Tag: fraction
The strawberry ice cream
Two tangent circles and a triangle. The figure has reflection symmetry in the vertical diameter d, of which one ninth is above the horizontal chord. What fraction is pink?
The inner sanctum
A square with four congruent equilateral triangles. What fraction is yellow?
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?
Marble box II
Two squares, three circles and a common tangent. What fraction is coloured?
The lemon slice
A semicircle is inscribed in a quarter circle. What is the minimal yellow fraction?
The Magdeburg hemispheres
A square containing a circle and two semicircles, all three having the same radius. What fraction is purple?
The sleeping bag
A semicircle containing a circle. One line segment is tangent to the circle and connects to the semicircle centre. The chord connects two tangency points. What fraction is blue?
The bishop’s hat
Two overlapping regular pentagons share two vertices. What fraction is the overlap area?
The leaning tower
A trapezium with it’s diagonals. Two areas are given. What faction is coloured?