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  2. Area of a circle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_circle

    The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = ⁠ 1 2 ⁠ × 2πr × r, holds for a circle.

  3. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    2. Denotes the additive inverse and is read as negative or the opposite of; for example, –2. 3. Also used in place of \ for denoting the set-theoretic complement; see \ in § Set theory. × (multiplication sign) 1. In elementary arithmetic, denotes multiplication, and is read as times; for example, 3 × 2. 2.

  4. Incircle and excircles - Wikipedia

    en.wikipedia.org/wiki/Incircle_and_excircles

    Incircle and excircles. Incircle and excircles of a triangle. In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. [1] An excircle or escribed circle [2 ...

  5. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O (2, R ). The group of rotations alone is the circle group T. All circles are similar.

  6. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Basic mathematics. This branch is typically taught in secondary education or in the first year of university. Outline of arithmetic. Outline of discrete mathematics. List of calculus topics. List of geometry topics. Outline of geometry. List of trigonometry topics. Outline of trigonometry.

  7. Apollonian circles - Wikipedia

    en.wikipedia.org/wiki/Apollonian_circles

    Definition. Apollonian circle, the angle bisectors in X yield , due and Thales's theorem X is located on a half circle with diameter. The Apollonian circles are defined in two different ways by a line segment denoted CD . Each circle in the first family (the blue circles in the figure) is associated with a positive real number r, and is defined ...

  8. Surface area - Wikipedia

    en.wikipedia.org/wiki/Surface_area

    A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

  9. Annulus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Annulus_(mathematics)

    Annulus (mathematics) Illustration of Mamikon's visual calculus method showing that the areas of two annuli with the same chord length are the same regardless of inner and outer radii. [1] In mathematics, an annulus ( pl.: annuli or annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer.