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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 that have been feathered together. [1] [2] It is nominally a circle with a variable radius of approximately 12 miles (19 km) centered in the town of New Castle, Delaware. [3]
A 12-mile (radius) circle (12 mi (19 km)) around the city of New Castle, Delaware. A "tangent line" connecting the midpoint of the transpeninsular line to the western side of the 12-mile circle. A "north line" along the meridian (line of longitude) from the tangent point to the Maryland-Pennsylvania border.
The Arctic Circle, roughly 67° north of the Equator, defines the boundary of the Arctic waters and lands. The Arctic Circle is one of the two polar circles, and the most northerly of the five major circles of latitude as shown on maps of Earth at about 66° 34' N. [1] Its southern equivalent is the Antarctic Circle.
A circular sector is shaded in green. Its curved boundary of length L is a circular arc. A circular arc is the arc of a circle between a pair of distinct points.If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends an angle at the center of the circle that is less than π radians (180 degrees); and the other arc, the major arc, subtends an angle ...
Part of the border between Western Sahara (claimed by Morocco) and Mauritania. 25°N: Part of the border between Mauritania and Mali. 22°N: Much of the border between Egypt and Sudan, partly disputed (see also Hala'ib Triangle). 20°N: A short section of the border between Libya and Sudan, and within Sudan, the northern border of the Darfur ...
The intersection of three circular disks forms a convex circular triangle. For instance, a Reuleaux triangle is a special case of this construction where the three disks are centered on the vertices of an equilateral triangle, with radius equal to the side length of the triangle. However, not every convex circular triangle is formed as an ...
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. [12] A circle circumference and radius are ...
A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path ...