The story of the three circles and a rectangle.
Geometry
Level
1
Three circles are inscribed inside a rectangle as shown. If a point inside the rectangle is selected at random, what is the probability that the point is inside the blue region?
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1 solution
The rectangle can be separated into 3 congruent squares with an incircle each, so our ratio is just (area of circle) over (area of square) = πr² / (2r)² = πr² / 4r² = π / 4