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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 ...
The semi-minor axis (minor semiaxis) of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section. For the special case of a circle, the lengths of the semi-axes are both equal to the radius of the circle. The length of the semi-major axis a of an ellipse is ...
The length of the internal bisector of the angle opposite the side of length a is [1] In a right triangle, the radius of the excircle on the hypotenuse equals the semiperimeter. The semiperimeter is the sum of the inradius and twice the circumradius. The area of the right triangle is where a, b are the legs.
Penalty area (1898) Penalty arc. The penalty area or 18-yard box (also known less formally as the penalty box or simply box) is an area of an association football pitch. It is rectangular and extends 18 yd (16 m) to each side of the goal and 18 yd (16 m) in front of it. If any part of the ball is over any part of a line demarking the penalty ...
A circle viewed from a side angle looks like an ellipse: that is, the ellipse is the image of a circle under parallel or perspective projection. The ellipse is also the simplest Lissajous figure formed when the horizontal and vertical motions are sinusoids with the same frequency: a similar effect leads to elliptical polarization of light in ...
The Circus, Bath. The Circus is a historic ring of large townhouses in the city of Bath, Somerset, England, forming a circle with three entrances. Designed by architect John Wood, the Elder, it was built between 1754 and 1768, [2] and is regarded as a pre-eminent example of Georgian architecture. "Circus" means a ring, oval or circle in Latin.
The Wigner semicircle distribution, named after the physicist Eugene Wigner, is the probability distribution on [− R, R] whose probability density function f is a scaled semicircle (i.e., a semi-ellipse) centered at (0, 0): for − R ≤ x ≤ R, and f (x) = 0 if |x| > R. The parameter R is commonly referred to as the "radius" parameter of ...
The Twelve-Mile Circle Diagram of the Twelve-Mile Circle, the Mason-Dixon Line, and The Wedge. The diagram shows the survey lines involved in the disputes, not current borders. The Twelve-Mile Circle is an approximately circular arc that forms most of the boundary between Delaware and Pennsylvania. It is a combination of different circular arcs ...