Categories
Intermediate

Cozy in his chair

Orange and green semicircles with equally long but perpendicular diameters (both length 2) are partially covered by a blue canopy at angle α. What is the orange area, which is not covered by either of the other regions, in terms of α?

Categories
Intermediate

Stuck in the corner

A square with a diagonal and a right triangle. What fraction is red?

Categories
Intermediate

Four square

Four squares. The red vertex is the centroid of the red triangle. What is the yellow area?

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Beginner

The propeller

The blue square blades are twice as long as the red triangle sides. What is the ratio of red to yellow areas?

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Beginner

The two-state solution

Two congruent squares share a vertex. What fraction is yellow?

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Beginner

Wild floor tile

What is the ratio of areas, purple/green, when the orange octagon is regular (all angles equal)?

Categories
Intermediate

Euclid’s wing

Several line segments, some of which are parallel. What is green : orange?

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Beginner

Pines and sky

Show that the light blue area is the same as the dark green area.

Categories
Intermediate

The tetromino

A square, its diagonal and six smaller squares. What fraction is purple?

Categories
Beginner

The bat

What is the full bat area (including the enclosed white parts) divided by that of its (equilateral triangular) upper torso?