A semicircle, a square and a chord. If the square has area 32, what is the semicircle area?
Tag: square
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The chess board
A square is divided by six line segments. What fraction is brown?
A unit circle with an inscribed square and four semicircles. What’s the sum of the semicircle areas?
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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.
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The sand heap
Two squares share a vertex. Three other vertices form a triangle, of which one side length is given. What is its area?
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The full circle
Two squares of area D and J share a vertex while the circle passes through four other vertices. What is the area of the latter in terms of D and J?
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The residue
A parabola is tangent to two sides of a square and to the hypotenuse of an isosceles triangle. The three tangency points are shown. What fraction of the square is green?
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The leftover package
An isosceles triangle with an inscribed square and three triangles. What is the proportion black : red?
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The dog ear
A square contains a triangle. What fraction of the square is red?
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The letter box
A rectangle with a diameter and two inscribed squares. What is its area in terms of the square areas A and B?