The fraction of the rectangle covered by n identical tangent circles in a row is always constant at π / 4 approximately 11/14 (or 78.5%) regardless of whether n equals 10, 20 or 50.
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The trapezium is split into a parallelogram of base a and a triangle of base (b – a), both sharing height h. Area = ah + (1/2)(b – a)h = (1/2)(2a + b – a)h = (1/2)(a + b)h.