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Quarter circle: Poland has issued a 10 złotych coin in the shape of a quarter circle. [76] Spheres: Niue issued the first official (non-circulating) spherical coin with a face value of 7 New Zealand dollars. [77] Several other countries followed soon with spherical coins, like Poland and Barbados.
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
A Fibonacci spiral approximates the golden spiral using quarter-circle arcs inscribed in squares derived from the Fibonacci sequence. A golden spiral with initial radius 1 is the locus of points of polar coordinates ( r , θ ) {\displaystyle (r,\theta )} satisfying r = φ 2 θ / π , {\displaystyle r=\varphi ^{2\theta /\pi },} where φ ...
Quarter round molding at the edge of a parquet floor. A quarter round is a convex molding whose cross section is a quarter circle. It is one form of ovolo. A variation is a base shoe, a quarter of an ellipse. [1] Most quarter round is of small gauge and relatively flexible.
The minor sector is shaded in green while the major sector is shaded white. A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector. [1]
The arc length, from the familiar geometry of a circle, is s = θ R {\displaystyle s={\theta }R} The area a of the circular segment is equal to the area of the circular sector minus the area of the triangular portion (using the double angle formula to get an equation in terms of θ {\displaystyle \theta } ):
Consider a square, and an inscribed quarter circle arc centered at with radius equal to the side of the square. Let be a point that travels with a constant angular velocity along the arc from to , and let be a point that travels simultaneously with a constant velocity from to along line segment ¯, so that and start at the same time at and arrive at the same time at and .
The lune of Hippocrates is the upper left shaded area. It has the same area as the lower right shaded triangle. In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle.