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2. Circle packing - Wikipedia

   en.wikipedia.org/wiki/Circle_packing

   A compact binary circle packing with the most similarly sized circles possible. [7] It is also the densest possible packing of discs with this size ratio (ratio of 0.6375559772 with packing fraction (area density) of 0.910683). [8] There are also a range of problems which permit the sizes of the circles to be non-uniform.

3. Farey sequence - Wikipedia

   en.wikipedia.org/wiki/Farey_sequence

   In the SVG image, hover over a circle or curve to highlight it and its terms. There is a connection between Farey sequence and Ford circles. For every fraction ⁠ p / q ⁠ (in its lowest terms) there is a Ford circle C[⁠ p / q ⁠], which is the circle with radius 1/(2q 2) and centre at (⁠ p / q ⁠, ⁠ 1 / 2q 2 ⁠).

4. Ford circle - Wikipedia

   en.wikipedia.org/wiki/Ford_circle

   In mathematics, a Ford circle is a circle in the Euclidean plane, in a family of circles that are all tangent to the -axis at rational points. For each rational number , expressed in lowest terms, there is a Ford circle whose center is at the point and whose radius is . It is tangent to the -axis at its bottom point, .

5. File:Ford circles.svg - Wikipedia

   en.wikipedia.org/wiki/File:Ford_circles.svg

   Ford circles. A circle rests upon each fraction in lowest terms. The circles for the fractions 0/1, 1/1, 1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5 are shown. Each circle touches, but does not cross, the line and some neighboring circles. Fractions with the same denominator have circles of the same size. Date: 2006: Source

6. Circle packing in a circle - Wikipedia

   en.wikipedia.org/wiki/Circle_packing_in_a_circle

   Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. Table of solutions, 1 ≤ n ≤ 20 [ edit ]

7. Semicircle - Wikipedia

   en.wikipedia.org/wiki/Semicircle

   Semicircle. πr 2 / 2 ⁠. In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180° (equivalently, π radians, or a half-turn). It only has one line of symmetry (reflection symmetry). In non-technical usage, the term "semicircle" is ...