A square containing a quarter circle. What’s the proportion blue : brown : green?
Tag: circle
The Eightfold Path
A semicircle, a square and an isosceles triangle. What’s the angle α?
Tomba La Bomba
Three regular hexagons inside a circle. Two shared vertices and five vertices on the circle. What’s red : green?
The augmented chord
A circle with four chords. What is the length of line segment x in terms of lengths a and b?
A semicircle, a square and a chord. If the square has area 32, what is the semicircle area?
The dome tent
A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?
The last wave
A square containing a quarter circle, a semicircle and a circle. What is the proportion blue : green?
The tightrope dancer
A circle containing an isosceles and two equilateral triangles. What is the proportion orange : blue?
A unit circle with an inscribed square and four semicircles. What’s the sum of the semicircle areas?
As above, so below
A semicircle, a square, a triangle and two circles. A centre and a tangency point are highlighted. Prove that the circles are congruent.