Quadrant (plane geometry)

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.

These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the two coordinates are (+,+)), II (−,+), III (−,−), and IV (+,−). When the axes are drawn according to the mathematical custom, the numbering goes counter-clockwise starting from the upper right ("northeast") quadrant.

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Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.

One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes.

Circular sector

A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. In the diagram, θ is the central angle in radians, the radius of the circle, and is the arc length of the minor sector.

A sector with the central angle of 180° is called a half-disk and is bounded by a diameter and a semicircle. Sectors with other central angles are sometimes given special names, these include quadrants (90°), sextants (60°) and octants (45°), which come from the sector being one 4th or 6th or 8th part of a full circle, respectively.

The angle formed by connecting the endpoints of the arc to any point on the circumference that is not in the sector is equal to half the central angle.

Area

The total area of a circle is . The area of the sector can be obtained by multiplying the circle's area by the ratio of the angle and (because the area of the sector is proportional to the its angle, and is the angle for the whole circle, in radians):

Avenue (Charlotte)

Avenue is a 425 feet (130 m) tall skyscraper in Charlotte, North Carolina. It was completed in 2007 and has 36 floors. Its construction began on May 17, 2005. It has 6,700 square feet (620 m²) of retail space at street level. The average unit size of its 386 apartments is 900 sq ft (80 m²). The 0.8 acres (3,237.5 m²) site was originally proposed 201 North Tryon Residential Tower.

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6½ Avenue

Route map: Bing / Google

6½ Avenue is a north-south pedestrian passageway in Midtown Manhattan, New York City, running from West 57th to West 51st Streets between Sixth and Seventh Avenues.

The pedestrian-only avenue is a quarter-mile corridor of privately owned public spaces, such as open-access lobbies and canopied space, which are open except at night. There are stop signs and stop ahead signs at six crossings between 51st and 56th Streets. The mid-block crossing at 57th Street is equipped with a traffic light. At the crosswalk areas, there are sidewalk pedestrian ramps with textured surface and flexible delineators to prevent vehicles parking in the areas.

Each intersection along the thoroughfare has a street name sign that reads "6½ AV" and the name of the cross street to officially mark the street name. The mid-block stop signs are unusual for Manhattan, and the fractional avenue name is a new idea for the numbered street system of New York City.

History

In 2011, the Friends of Privately Owned Public Spaces proposed the creation of a six-block pathway from 51st to 57th Streets that would be mid-block between Sixth and Seventh Avenues to ease pedestrian traffic. The proposal called for connecting public spaces in the area, that were not known to most pedestrians, into a pedestrian corridor and naming it Holly Whyte Way. The idea was presented to the Community Board 5 Transportation Committee and the full Community Board 5, then the board sent a formal request to the New York City Department of Transportation (NYCDOT) in May 2011.

137 Avenue, Edmonton

137 Avenue is a major arterial road in north Edmonton, Alberta, Canada. This road travels through residential, industrial and commercial areas, including shopping and entertainment centres and districts.

The road starts at Ray Gibbon Drive, in southwest St. Albert, Big Lake being west of there. It links south St. Albert with Ray Gibbon Drive (St. Albert's West Bypass Road), by way of Riel Drive and Sir Winston Churchill Avenue. Within St. Albert the road is named LeClair Way. After entering Edmonton, at Sir Winston Churchill Avenue, it passes under Anthony Henday Drive, and continues through north Edmonton.

137 Avenue passes Golden West Golf Course and St. Albert Trail Golf Course between 170 Street, and St. Albert Trail (Mark Messier Trail). Past there is the St. Albert Trail and Pembina commercial areas, and Castle Downs neighbourhood. The avenue between Castle Downs Road and 97 Street forms the southern boundary of the old CFB Griesbach. At 97 Street (Highway 28) the road passes through the northgate commercial area with Northgate Centre and North Town Centre, and at 66 Street it passes Londonderry Mall. 137 Avenue again passes through commercial districts at Manning Drive and 50 Street, the latter being called Clareview Town Centre, and between which the LRT passes over. One final commercial area is located by Victoria Trail before 137 Avenue turns into 20 Street NW at Hermitage Park.