Two perpendicular squares inside a circle. The circle centre is located on the side of one square. The line segment connecting two vertices has length a. What is the circle area?
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Squaring the circle
Tag: square
Categories
The Common Brimstone
A square divided by three line segments. What’s the proportion green : yellow?
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The Suresh similarity
Two squares and a rectangle. Prove that the red triangles are similar.
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Tension control
Three squares and a line segment of which a vertex is the midpoint. What is the proportion purple : green?
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A new slant
Two squares and a slanted rectangle share three vertices. What is the total area?
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Equilibrium
Three squares and a circle. The areas of the squares are given. What is the area of the circle?
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House of the rising sun
A semicircle, a circle, a square and an equilateral triangle. The two points are the tangency point and the semicircle centre. What fraction of the total area is yellow?
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The square of Amaresh
A right triangle having semicircles along its perpendicular sides and two smaller inscribed circles. Prove that the orange quadrilateral is a square.
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Il tricolore
Two squares share two vertices. A line segment connects two other vertices, forming the base of three triangles. What is the proportion green : white : red?
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Two square pegs
Two squares and a circle. What is the proportion a : b?