The Odeum Expo Center was a convention center located in Villa Park, Illinois . It featured 20,106 square feet (1,868 m) of exhibit space at the North Hall and 21,632 square feet (2,010 m) of exhibit space at the South Hall.
25-496: Both halls had pitched roofs as high as 50 feet (15 m). The South Hall was also used as an arena with an 85-by-194-foot artificial turf surface for indoor soccer or indoor football. It seated 2,500 for indoor soccer, football or lacrosse, and up to 5,500 for boxing , MMA/UFC, wrestling , and concerts . In addition, the Odeum Expo Center featured two mezzanines, the lower with 4,340 square feet (403 m) and
50-410: A " prime " (minute of arc), 1 for a second , 1 for a third , 1 for a fourth , etc. Hence, the modern symbols for the minute and second of arc, and the word "second" also refer to this system. SI prefixes can also be applied as in, e.g., millidegree , microdegree , etc. In most mathematical work beyond practical geometry, angles are typically measured in radians rather than degrees. This
75-434: A '1 in _' slope (where a '1 in 1' equals 45°) is used. Where convenient, a reduced ratio is used (e.g., a '3 in 4' slope, for a '9 in 12' or '1 in 1 + 1 ⁄ 3 '). Considerations involved in selecting a roof pitch include availability and cost of materials, aesthetics, ease or difficulty of construction, climatic factors such as wind and potential snow load, and local building codes. The primary purpose of pitching
100-452: A cycle or revolution) is equal to 360°. With the invention of the metric system , based on powers of ten, there was an attempt to replace degrees by decimal "degrees" in France and nearby countries, where the number in a right angle is equal to 100 gon with 400 gon in a full circle (1° = 10 ⁄ 9 gon). This was called grade (nouveau) or grad . Due to confusion with
125-454: A minimum slope. Buffalo, New York and Montreal , Quebec, Canada, specify 6 in 12, a pitch of approximately 26.6 degrees. A flat roof includes pitches as low as 1 ⁄ 2 :12 to 2:12 (1 in 24 to 1 in 6), which are barely capable of properly shedding water. Such low-slope roofs (up to 4:12 (1 in 3)) require special materials and techniques to avoid leaks. Conventional describes pitches from 4:12 (1 in 3) to 9:12 (3 in 4). Steep
150-449: A pitch of 3 (or “3 in 12”). The pitch of a roof is its vertical 'rise' over its horizontal 'run’ (i.e. its span ), also known as its ' slope '. In the imperial measurement systems , "pitch" is usually expressed with the rise first and run second (in the US, run is held to number 12; e.g., 3:12, 4:12, 5:12). In metric systems either the angle in degrees or rise per unit of run, expressed as
175-425: A roof is to redirect wind and precipitation, whether in the form of rain or snow. Thus, pitch is typically greater in areas of high rain or snowfall, lower in areas of high wind. The steep roof of the tropical Papua New Guinea longhouse , for example, sweeps almost to the ground. The high, steeply-pitched gabled roofs of Northern Europe are typical in regions of heavy snowfall. In some areas building codes require
200-453: Is 1 nautical mile . The example above would be given as 40° 11.25′ (commonly written as 11′25 or 11′.25). The older system of thirds , fourths , etc., which continues the sexagesimal unit subdivision, was used by al-Kashi and other ancient astronomers, but is rarely used today. These subdivisions were denoted by writing the Roman numeral for the number of sixtieths in superscript: 1 for
225-498: Is 360 degrees. It is not an SI unit —the SI unit of angular measure is the radian —but it is mentioned in the SI brochure as an accepted unit . Because a full rotation equals 2 π radians, one degree is equivalent to π / 180 radians. The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to
250-442: Is a stub . You can help Misplaced Pages by expanding it . Roof pitch Roof pitch is the steepness of a roof expressed as a ratio of inch(es) rise per horizontal foot (or their metric equivalent), or as the angle in degrees its surface deviates from the horizontal. A flat roof has a pitch of zero in either instance; all other roofs are pitched . A roof that rises 3 inches per foot, for example, would be described as having
275-451: Is above 9:12 (3 in 4) (21:12) (7 in 4) and may require extra fasteners. US convention is to use whole numbers when even (e.g. "three in twelve") or the nearest single or two-digit fraction when not (e.g. either "five and a half in twelve" or "five point five in twelve", each expressed numerically as 5 + 1 ⁄ 2 :12 and 5.5:12) respectively. Definitions vary on when a roof is considered pitched. In degrees , 10° (2 in 12 or 1 in 6)
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#1732783855797300-407: Is considered by at least one reference a minimum. In trigonometric expression, exact roof slope in degrees is given by the arctangent. For example: arctan( 3 ⁄ 12 ) = 14.0°. Framing carpenters cut rafters on an angle to "pitch" a roof. Lower pitched roof styles allow for lower structures with a corresponding reduction in framing and sheathing materials. Historically, roof pitch
325-409: Is divisible by every number from 1 to 10 except 7. This property has many useful applications, such as dividing the world into 24 time zones , each of which is nominally 15° of longitude , to correlate with the established 24-hour day convention. Finally, it may be the case that more than one of these factors has come into play. According to that theory, the number is approximately 365 because of
350-442: Is for a variety of reasons; for example, the trigonometric functions have simpler and more "natural" properties when their arguments are expressed in radians. These considerations outweigh the convenient divisibility of the number 360. One complete turn (360°) is equal to 2 π radians, so 180° is equal to π radians, or equivalently, the degree is a mathematical constant : 1° = π ⁄ 180 . One turn (corresponding to
375-681: The Chicago Blitz professional indoor football team began play at the Odeum in the CIFL. They continued their home games through 2016 as a member of the AIF, until the league folded and team subsequently cancelled their remaining season games. In January 2022, it was announced that the Odeum would be sold and permanently closed at the end of May 2022. This article about a sports venue in Illinois
400-479: The apparent movement of the sun against the celestial sphere, and that it was rounded to 360 for some of the mathematical reasons cited above. For many practical purposes, a degree is a small enough angle that whole degrees provide sufficient precision. When this is not the case, as in astronomy or for geographic coordinates ( latitude and longitude ), degree measurements may be written using decimal degrees ( DD notation ); for example, 40.1875°. Alternatively,
425-450: The circle in 360 degrees of 60 arc minutes . Eratosthenes used a simpler sexagesimal system dividing a circle into 60 parts. Another motivation for choosing the number 360 may have been that it is readily divisible : 360 has 24 divisors , making it one of only 7 numbers such that no number less than twice as much has more divisors (sequence A072938 in the OEIS ). Furthermore, it
450-573: The existing term grad(e) in some northern European countries (meaning a standard degree, 1 / 360 of a turn), the new unit was called Neugrad in German (whereas the "old" degree was referred to as Altgrad ), likewise nygrad in Danish , Swedish and Norwegian (also gradian ), and nýgráða in Icelandic . To end the confusion, the name gon was later adopted for
475-526: The fact that 360 is approximately the number of days in a year. Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day. Some ancient calendars , such as the Persian calendar and the Babylonian calendar , used 360 days for a year. The use of a calendar with 360 days may be related to
500-481: The new unit. Although this idea of metrification was abandoned by Napoleon, grades continued to be used in several fields and many scientific calculators support them. Decigrades ( 1 ⁄ 4,000 ) were used with French artillery sights in World War I. An angular mil , which is most used in military applications, has at least three specific variants, ranging from 1 ⁄ 6,400 to 1 ⁄ 6,000 . It
525-403: The radius made a natural base quantity. One sixtieth of this, using their standard sexagesimal divisions, was a degree. Aristarchus of Samos and Hipparchus seem to have been among the first Greek scientists to exploit Babylonian astronomical knowledge and techniques systematically. Timocharis , Aristarchus, Aristillus , Archimedes , and Hipparchus were the first Greeks known to divide
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#1732783855797550-588: The traditional sexagesimal unit subdivisions can be used: one degree is divided into 60 minutes (of arc) , and one minute into 60 seconds (of arc) . Use of degrees-minutes-seconds is also called DMS notation . These subdivisions, also called the arcminute and arcsecond , are represented by a single prime (′) and double prime (″) respectively. For example, 40.1875° = 40° 11′ 15″ . Additional precision can be provided using decimal fractions of an arcsecond. Maritime charts are marked in degrees and decimal minutes to facilitate measurement; 1 minute of latitude
575-725: The upper mezzanine with 13,024 square feet (1,210 m) and a roof up to 40 feet (12 m). There were also 9,750 square feet (906 m) of meeting space and a 2,064-square-foot (192 m) lobby. In 2010, the Odeum became the home to the Chicago Cardinals of the Continental Indoor Football League . Also in 2010 the Chicago Riot of the Major Indoor Soccer League began play at the Odeum Expo Center. In 2014,
600-475: The use of sexagesimal numbers. Another theory is that the Babylonians subdivided the circle using the angle of an equilateral triangle as the basic unit, and further subdivided the latter into 60 parts following their sexagesimal numeric system. The earliest trigonometry , used by the Babylonian astronomers and their Greek successors, was based on chords of a circle. A chord of length equal to
625-432: Was designated in two other ways: A ratio of the ridge height to the width of the building (span) and as a ratio of the rafter length to the width of the building. Commonly used roof pitches were given names such as: Degree (angle) A degree (in full, a degree of arc , arc degree , or arcdegree ), usually denoted by ° (the degree symbol ), is a measurement of a plane angle in which one full rotation
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