geometry, the area enclosed by a circle of radius r is πr2. Here, the Greek letter π represents the constant ratio of the circumference of any circle to its...

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of...

the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a given circle by...

(as in squaring the circle); by synecdoche, "area" sometimes is used to refer to the region, as in a "polygonal area". The area of a shape can be measured...

is only a fraction of what was a longer work. Proposition one states: The area of any circle is equal to a right-angled triangle in which one of the sides...

the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the...

In geometry, calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula...

Maynard James Keenan. A Perfect Circle released three of their four studio albums in the early 2000s: their debut Mer de Noms in 2000, a follow-up, Thirteenth...

of a full circle, respectively. The arc of a quadrant (a circular arc) can also be termed a quadrant. The total area of a circle is πr2. The area of the...

Francisco Bay Area Film Critics Circle (SFBAFCC), formerly known as San Francisco Film Critics Circle, was founded in 2002 as an organization of film journalists...

both circle constants relating the circumference of a circle to its linear dimension: the radius in the case of 𝜏; the diameter in the case of π. While...

moment of area, or second area moment, or quadratic moment of area and also known as the area moment of inertia, is a geometrical property of an area which...

Liu Hui (fl. 3rd century), a mathematician of the state of Cao Wei. Before his time, the ratio of the circumference of a circle to its diameter was often...

(/paɪ/ ; spelled out as pi) is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter....

of exhaustion as a way to compute the area inside a circle by filling the circle with a sequence of polygons with an increasing number of sides and a...

In mathematics, a Ford circle is a circle in the Euclidean plane, in a family of circles that are all tangent to the x {\displaystyle x} -axis at rational...

method of exhaustion to derive and rigorously prove many geometrical theorems, including the area of a circle, the surface area and volume of a sphere...

perpendicular to BC at A. Then the area of the arbelos is equal to the area of a circle with diameter HA. Proof: For the proof, reflect the arbelos over the...

figure its name. Myers's original circle covers only about 10% of the Earth's total surface area, with a radius of around 4,000 kilometers (2,500 miles)...

vanish by the data of the problem."[italics added](p 73) Given the Venn's assignments, then, the unshaded areas inside the circles can be summed to yield...

area of a segment of a unit sphere in steradians is analogous to giving the length of an arc of a unit circle in radians. Just as the magnitude of a plane...

area of a circle, the surface area and volume of a sphere, area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution...

lengths in the circle but to find a square with the same area as the circle. He knew that Archimedes' formula for the area of a circle, which calls for...

"The 2024 San Francisco Bay Area Film Critics Circle (SFBAFCC) Nominations". San Francisco Bay Area Film Critics Circle. Archived from the original on...

Washington Circle is a traffic circle in the northwest quadrant of Washington, D.C., United States. It is located on the border of the Foggy Bottom and...

a copy of an older, Middle Kingdom text) implies an approximation of π as 256⁄81 ≈ 3.16 (accurate to 0.6 percent) by calculating the area of a circle...

A circle of competence is the subject area which matches a person's skills or expertise. The concept was developed by Warren Buffett and Charlie Munger...

area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern...

circumferēns 'carrying around, circling') is the perimeter of a circle or ellipse. The circumference is the arc length of the circle, as if it were opened up...

the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle. They...