- 関
- circumferential、outer boundary、periclinal
WordNet
- the size of something as given by the distance around it (同)perimeter
- the length of the closed curve of a circle
- the boundary line encompassing an area or object; "he had walked the full circumference of his land"; "a danger to all races over the whole circumference of the globe" (同)circuit
- lying around or just outside the edges or outskirts; "circumferential highways around cities"
PrepTutorEJDIC
- 外周,(特に)円周
Wikipedia preview
出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2016/10/19 15:08:45」(JST)
[Wiki en表示]
Part of a series of articles on the |
mathematical constant π |
|
Uses |
- Area of a circle
- Circumference
- Use in other formulae
|
Properties |
- Irrationality
- Transcendence
|
Value |
- Less than 22/7
- Approximations
- Memorization
|
People |
- Archimedes
- Liu Hui
- Zu Chongzhi
- Aryabhata
- Madhava
- Ludolph van Ceulen
- Seki Takakazu
- Takebe Kenko
- William Jones
- John Machin
- William Shanks
- John Wrench
- Chudnovsky brothers
- Yasumasa Kanada
|
History |
|
In culture |
|
Related topics |
- Squaring the circle
- Basel problem
- Six nines in π
- Other topics related to π
|
|
The circumference (from Latin circumferentia, meaning "carrying around") of a closed curve or circular object is the linear distance around its edge.[1] The circumference of a circle is of special importance in geometry and trigonometry. Informally "circumference" may also refer to the edge itself rather than to the length of the edge. Circumference is a special case of perimeter: the perimeter is the length around any closed figure, but conventionally "perimeter" is typically used in reference to a polygon while "circumference" typically refers to a continuously differentiable curve.
Contents
- 1 Circumference of a circle
- 2 Circumference of an ellipse
- 3 Circumference of a graph
- 4 See also
- 5 References
- 6 External links
Circumference of a circle
Circle illustration with circumference (C) in black, diameter (D) in cyan, radius (R) in red, and centre or origin (O) in magenta. Circumference =
π × diameter = 2 ×
π × radius.
The circumference of a circle is the distance around it. The term is used when measuring physical objects, as well as when considering abstract geometric forms.
When a circle's diameter is 1, its circumference is
π.
When a circle's radius is 1—called a unit circle—its circumference is 2
π.
Relationship with Pi
The circumference of a circle relates to one of the most important mathematical constants in all of mathematics. This constant, pi, is represented by the Greek letter π. The numerical value of π is 3.14159 26535 89793 ... (see A000796). Pi is defined as the ratio of a circle's circumference C to its diameter d:
Or, equivalently, as the ratio of the circumference to twice the radius. The above formula can be rearranged to solve for the circumference:
The use of the mathematical constant π is ubiquitous in mathematics, engineering, and science. The constant ratio of circumference to radius also has many uses in mathematics, engineering, and science. These uses include but are not limited to radians, computer programming, and physical constants. The Greek letter τ (tau) is sometimes used to represent this constant, but is not generally accepted as proper notation.
Circumference of an ellipse
The circumference of an ellipse can be expressed in terms of the complete elliptic integral of the second kind.
Circumference of a graph
In graph theory the circumference of a graph refers to the longest cycle contained in that graph.
See also
- Arclength
- Area
- Caccioppoli set
- Isoperimetric inequality
- Pythagorean Theorem
- Volume
References
- ^ San Diego State University (2004). "Perimeter, Area and Circumference" (PDF). Addison-Wesley.
External links
|
The Wikibook Geometry has a page on the topic of: Arcs |
|
Look up circumference in Wiktionary, the free dictionary. |
- Numericana - Circumference of an ellipse
- Circumference of a circle With interactive applet and animation
UpToDate Contents
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English Journal
- Time spent sitting during and outside working hours in bus drivers: A pilot study.
- Varela-Mato V1, Yates T2, Stensel DJ1, Biddle SJ3, Clemes SA1.
- Preventive medicine reports.Prev Med Rep.2015 Dec 3;3:36-9. doi: 10.1016/j.pmedr.2015.11.011. eCollection 2016.
- This cross-sectional pilot study objectively measured sedentary and non-sedentary time in a sample of bus drivers from the East Midlands, United Kingdom. Participants wore an activPAL3 inclinometer for 7 days and completed a daily diary. Driver's blood pressure, heart rate, waist circumference and
- PMID 26844184
- Fetal tricuspid annulus plane systolic excursion (fTAPSE) at term - association with cerebroplacental ratio, birthweight and neonatal pH.
- Morales-Roselló J1, Khalil A2, Perales-Marín A1.
- The journal of maternal-fetal & neonatal medicine : the official journal of the European Association of Perinatal Medicine, the Federation of Asia and Oceania Perinatal Societies, the International Society of Perinatal Obstetricians.J Matern Fetal Neonatal Med.2016 May;29(10):1636-41. doi: 10.3109/14767058.2015.1057810. Epub 2015 Jul 27.
- OBJECTIVE: To study at term the association of the fetal tricuspid annulus plane systolic excursion (fTAPSE) with gestational age (GA), birthweight (BW), cerebroplacental ratio (CPR) and neonatal pH.METHODS: fTAPSE was evaluated in 309 fetuses in relation with GA and BW. Standardized values for feta
- PMID 26135760
- Lead, mercury, and cadmium in umbilical cord serum and birth outcomes in Chinese fish consumers.
- Tang M1, Xu C1, Lin N1, Liu K2, Zhang Y3, Yu X3, Liu W4.
- Chemosphere.Chemosphere.2016 Apr;148:270-5. doi: 10.1016/j.chemosphere.2016.01.058. Epub 2016 Jan 23.
- Heavy metals such as lead (Pb), mercury (Hg), and cadmium (Cd) were detected in the islands of Yangtze River estuary and Hangzhou bay and their exposure caused potential health risk for the residents. To assess the exposure levels of Pb, Hg, and Cd, the umbilical cord serum samples were collected fr
- PMID 26812370
- Association of early life exposure to bisphenol A with obesity and cardiometabolic traits in childhood.
- Vafeiadi M1, Roumeliotaki T2, Myridakis A3, Chalkiadaki G2, Fthenou E2, Dermitzaki E4, Karachaliou M2, Sarri K2, Vassilaki M2, Stephanou EG3, Kogevinas M5, Chatzi L2.
- Environmental research.Environ Res.2016 Apr;146:379-87. doi: 10.1016/j.envres.2016.01.017. Epub 2016 Jan 25.
- BACKGROUND: Bisphenol A (BPA) is a chemical used extensively worldwide in the manufacture of plastic polymers. The environmental obesogen hypothesis suggests that early life exposure to endocrine disrupting chemicals such as BPA may increase the risk for wt gain later in childhood but few prospectiv
- PMID 26821262
Japanese Journal
- Ventriculoperitoneal Shunt Outcomes among Infants
- Murayama Hidehiko,Nakata Yusei,Kanazawa Akane,Watanabe Hirokazu,Shigemitsu Yusuke,Iwasaki Yuka,Tokorodani Chiho,Miyazawa Mari,Nishiuchi Ritsuo,Kikkawa Kiyoshi
- Acta Medica Okayama 69(2), 87-93, 2015-04
- … Of the 24 cases, the median (range) values for gestational age, birth weight, and birth head circumference (HC) were 37 (27-39) wks, 2,736 (686-3,788) g, and 35.3 (23.0-45.3) cm, respectively. …
- NAID 120005595789
- 靴選びに貢献する簡易型自動足型計測システムの開発における基礎データの収集
- 天野 勝弘,甲田 希美,佐藤 三友紀
- 関東学園大学紀要. Liberal arts 23, 1-15, 2015-03-31
- … The purpose of this study is to investigate the relationship between the width of a foot at the metacarpophalangeal (MP) joint and the circumference around the MP joint. … The width and circumference data provide reasonable estimates of the three dimensional foot shape and therefore may be used by a reliable and inexpensive a shoes-selection system. …
- NAID 110009888838
- 菊地 慶祐
- 湘南工科大学紀要 49(1), 29-45, 2015-03-31
- … Takebe Katahiro, one of the most distinguished mathematicians of the Edo period, showed the ratio of the circumference of a circle to its diameter at the 42 digit value. …
- NAID 110009886474
- 下肢の浮腫に対するエアマッサージの効果 : 圧力設定,マッサージモード,治療時間による違い
- 長谷場 純仁,中尾 周平,榊間 春利,ハセバ スミヒト,ナカオ シュウヘイ,サカキマ ハルトシ,HASEBA Sumihito,NAKAO Shuhei,SAKAKIMA Harutoshi
- 鹿児島大学医学部保健学科紀要 25(1), 25-30, 2015-03
- … We assessed the maximum pressure on the cuff of the lower leg interface, change in the maximum and minimum lower leg circumference, and change in the vital signs at the time of air massage. … The circumference was measured under 2 pressure grades (1 and 2) at 10, 20, and 30 minutes after the air massage, and the amount of change was estimated. … As the change in the lower leg circumference was large, the time required for air massage increased as well. …
- NAID 120005607994
Related Links
- circumferenceとは。意味や和訳。[名][U][C]1 外周,円周,周辺;その長さ[距離]in circumference周囲が.2 周辺内部の面積,範囲.[後ラテン語circumferentia (circum-(周りに)+ferre(運ぶ)+-ENCE=丸く引くもの→円周 ...
- Circumference definition, the outer boundary, especially of a circular area; perimeter: the circumference of a circle. See more. Thesaurus Translate Puzzles & Games Word of the Day Blog Slideshows Apps by Dictionary Log Out ...
- Learn More About CIRCUMFERENCE Thesaurus: All synonyms and antonyms for "circumference" Spanish Central: Spanish translation of "circumference" SCRABBLE ®: Playable words you can make from "circumference" ...
Related Pictures
![Circumference of a Circle | CK-12](https://1mg.info/0/i/8/0953.jpg)
![The circumference is the distance all the](https://1mg.info/0/i/8/0954.jpg)
![Circumference, diameter, and radius of a](https://1mg.info/0/i/8/0955.jpg)
![with circumference increased by 1 m](https://1mg.info/0/i/8/0956.jpg)
![Circumference Of A Circle clip art](https://1mg.info/0/i/8/0957.jpg)
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![Circumference Of A Circle Clip Art at](https://1mg.info/0/i/8/0959.jpg)
★リンクテーブル★
[★]
- 関
- ambient, around, outer boundary, peri, surrounding
- (adv.)circumferentially, circumference
[★]
- 英
- surrounding、circumferential、ambient、peri、around, circumference
- 関
- 環境、外周、約、外界
[★]
- 英
- circumference、outer boundary、circumferential
- 関
- 周囲、周径、周縁
-circumference
[★]
- 英
- circumference、periclinal
- 関
- 外周、周径
[★]
- 関
- circumference、circumferential
[★]
- 関
- perithoracic