How is pi derived?

The circumference of any circle divided by its diameter is always equal to pi.

the value of pi can be derived as the ratio between the circumference and diameter of every circle, say pi = circumference/diameter

Area of a circle in square units = pi*radius2

Pi is the mathematical term for the ratio of the circumference of a circle to its diameter. If you divide the circumference of any circle by its diameter you will get exactly the same answer which is approximately 3.14.

Study of circles. It was derived by mathematicians(Greek?) who developed an infinite series to describe it.

Yes. This follows from the fact that pi is transcendental. That implies that it can't be written as a root.

The area of a circle is derived from Pi x r2 where Pi = 3.14 and r = the radius, therefore a circle with an area of 662.89 has a radius of 14.5

Circumfrence = pi * diameter It can be experimentally derived very easily.

A geometric composition of three adjoined, circle-squaring right triangles where hypotenuse is that circle's diameter. Long side of each right triangle has length equal to a side of that circle's square. "Three Pi" of "Three Pi Vise" refers to the three adjoined right triangles, defined by increments of Pi; "Vise" refers to the symbolic Pi Corral (re: "transcendental" Pi) of this composition. Length of adjoined diameters (hypotenuse) = 2.0, sqrt(Pi), Pi/2, Pi(sqrt(Pi)/4) Integrated by constant: 1.1283791670955125738961589031215.. = 2(sqrt(1/Pi)) = 2.0/sqrt(Pi) = sqrt(Pi)/(Pi/2) = (Pi/2)/(Pi(sqrt(Pi)/4)) Second range: 2.0/(Pi/2) = sqrt(Pi)/(Pi(sqrt(Pi)/4)) = 1.1283791670955125738961589031215..^2 Third range: 2.0/(Pi(sqrt(Pi)/4)) = 1.1283791670955125738961589031215..^3 The Pi-derived constants (line length ratios): 2/sqrt(Pi) = 1.1283791670955125738961589031215.. = sqrt(Pi)/(Pi/2) sqrt(Pi)/sqrt(4-Pi) = 1.9130583802711007947403078280203.. "iPhi"

It is derived from the Greek language. S - Sigma P - Pi E - Epsilon R- Rho M - Mu

The circumference of any circle divided by its diameter is always equal to pi and its exact value has never been discovered because its decimal places run into infinity and in math only an approximation of its value is used.

pi5 = pi * pi * pi * pi * pi

The modern methods for calculating pi, using super computers, is based on a formula derived by the Borwein brothers and the Chudnovsky brothers and known as the Chudnovsky formula. 1/pi = 12/(640320^1.5)*sum[for k going from 0 to infinity of] [6k!*13591409+545140134k)}]/[(3k)!(k!)^{3}(-640320)^{3k}}]

the same as pi squared, which is 9.86960440109

negative pi (-pi) = -3.14

Circumference = 2 times pi times radius. Circumference of a circle is the distance along the edge of the circle. Radius is the distance from the center of the circle to the edge. Pi is the ratio that was derived from relationships in dimensions of circles. It is an irrational number; its value is approximately 3.1416

4/3 *PI* r3 The formula was first derived by Archimedes, who showed that the volume of a sphere is 2/3 that of a circumscribed cylinder.

It means pi to the power of two. pi square = pi * pi

The square root of pi times pi is simply pi. Because pi*pi=pi squared, the squared and the square root will cancel each other, leaving just pi.

My understanding is that as the measurement of the circumference of a circle is derived from an equation using "pi" with pi being an indefinite number, the measurement of the circumference of a circle is also an indefinite number, but the figure can be rounded back to a predetermined number of decimal places.

[pi^(1/3)]^2 * pi = pi^(2/3) * pi = pi^(5/3) The answer is the cubic root of pi to the fifth power.

Um, reality check. pi is pi. pi is 3.1415. There is no separate Transformer pi.

(pi + pi + pi) = 3 pi = roughly 9.4248 (rounded) Well, if you use the common shortened version of pi which is 3.14 and add that 3 times, you get 9.42.

pi pi sili evolves into pi pi 1st in the mulecular pi industry. But if you subtract the remaining sili, it evolves into the 67th multivrese. but if its pi day, it would evolve into 2.57

The star systems were derived from various Star Wars sources to put in the Essential Atlas and online companion are: Abaar - derived from Abaarian water Alarevi - derived from Alarevi ale Alui - derived from Alui Corridor Ancathia - derived from Ancathian funge-flower Angeria - derived from Angerian Fishak Surprise Angrallia - derived from Angrallian Toobir Anorelga - derived from Anorelgan slip-socker Antakaria - derived from Antakarian Fire Dancer Apoka - derived from Apokan silveroak Ardroxia - derived from Ardroxian flu Aridinia - derived from Aridinian folk music Askaria - derived from Askarian worm Bacia - derived from Bacian blood hornet Bactriasa - derived from Bactriasan scarab Baldur - derived from Balduran Civil War Banasthau - derived from Banasthaur Barbeen - derived from Brothers of Barbeen Barcaria - derived from Barcarian claw salt Batravia - derived from Batravian gumplucker Belloria - derived from Bellorian ale Belvaria - derived from Belvarian firegnat Benwabula - derived from Benwabulan gong Besnia - derived from Besnian sausage Biravia - derived from Biravian Bisellia - derived from Lobster Bisellian Biskar - derived from Biskaran Pirates Bizikia - derived from Bizikian hornet Bloxia - derived from Bloxian Bolenia - derived from Bolenian hillspinner Bontormia - derived from Bontormian Klesplong Borloria - derived from Borlorian Breta Yaga - derived from Breta Yagan flatsculp Bruvia - derived from Bruvian Bynarria - derived from Bynarrian jig Camblia - derived from Camblian Order Candoria - derived from Candorian plague Cardellia - derived from Cardellian mint Carpagia - derived from Carpagian Cartusio - derived from Cartusion whale Caska - derived from Caskan wolf-snake Cedrell - derived from Cedrellian aged wine Cerilia - derived from Cerilian Trade Agreement Chagaria - derived from Chagarian ale Changa - derived from Changan bushfighting Charbodia - derived from Charbodian Cheku - derived from Chekut Cheruba - derived from Cheruban glach Chestrashus - derived from Chestrashi Cornesia - derived from Cornesian wax Corosi - derived from Corosian phoenix Corthenia - derived from Corthenian Corweillia - derived from Corweillian Crintlia - derived from Crintlian Cydorria - derived from Cydorrian driller tree D'faria - derived from D'farian Dairka - derived from Dairkan Starliner Darellia - derived from Darellian fire crab Daruvvia - derived from Daruvvian champagne Darwikia - derived from Darwikian climbing pad Dbari - derived from Dbarian Delmaas - derived from Delmaasi pirates Delphania - derived from Delphanian Deluvia - derived from Deluvian fatworm Denbar - derived from 543rd Denbari Attack Company Denebia - derived from Denebian holo-chess Denebrilla - derived from Denebrillan star silk Deneeli - derived from Deneelian fizz-pudding Denusia - derived from Denusian squirmer Dervdis - derived from Dervdisi business suit Deryvia - derived from Deryvian snake Dimea - derived from Dimean Direllia - derived from Direllian Plague Doreen - derived from Doreenian ambergris Dorenia - derived from Dorenian Beshniquel Dozoisia - derived from Dozoisian snark venom Dramassia - derived from Dramassian silk Dressia - derived from Dressian Kiolsh Merchant Bank Drilbia - derived from Drilbian wine Druulgotha - derived from Druulgothan Dubloviann - derived from Dubloviann flame rifle Eilnia - derived from Eilnian sweet fly Emorus - derived from Emori leatherwork Emurria - derived from Emurrian opera Endrolia - derived from Endrolian ground-apple Juice Ertrax - derived from Ertraxi Falasia - derived from Falasian liquid crystal Feraleech - derived from Feraleechi Onetime Loop Ferijia - derived from Ferijian ape Ferrelia - derived from Ferrelian ant Flandor - derived from Flandorian flower Fligger - derived from Fliggerian firebeast Flyntaria - derived from Flyntarian tabac stick Forbelea - derived from Forbelean Defense Froffl - derived from Froffli Fromish - derived from Fromish ale Frunchettan - derived from Frunchettan-sai Gaddria - derived from Gaddrian Garwillia - derived from Garwillian champagne Galdria - derived from Galdrian mustang Galdronia - derived from Beneath the Galdronian Moon: A Modern Lover's Epic Gannymeda - derived from Gannymedan Geillia - derived from Geillian ale Gelda - derived from Geldan sun-apple Gerinia - derived from Gerinian star-stone Ggy-ynt - derived from Bandits of Ggy-ynt Ghothia - derived from Ghothian slime Gorgaria - derived from Gorgarian buzzadder Gravdinia - derived from Gravdinian ale Gregonia - derived from Gregonian salamander Grimwald - derived from Grimwaldi sponge Gurrisalia - derived from Sacred Scroll of Gurrisalia Guudria - derived from Guudrian Guuko - derived from Guukosi Haluria - derived from Halurian ice boar Harda - derived from Hardan plague Harterra - derived from Harterran moonstone Haseria - derived from Haserian Hasiki - derived from Hasikian Hassaria - derived from Hassarian Heliconia - derived from Yellow-barred Heliconian butterfly Heptalia - derived from Heptalian embroidered throw Hillindor - derived from Hillindor game fowl Hismaul - derived from Hismauli hawk-snake Hrthging - derived from Hrthgingian Firegem Huulia - derived from Huulian starfighter Huvveck - derived from University of Huvveck Hylaia - derived from Hylaian marsh bamboo Idolia - derived from Idolian fever Ipellrilla - derived from Ipellrillan firewater Ilthan - derived from Ilthani space mine Imerria - derived from Imerrian windstorm Iskin - derived from Star of Iskin Ixzinia - derived from Ixzinian rock ram Jaciprus - derived from Jacipri Jakelia - derived from Jakelian knife-dance Jalin - derived from Jalinese knife Jalor - derived from Jalorian Sodality Jargridia - derived from Jargridian brandy Javarica - derived from Javarican espresso Jendiria - derived from Jendirian Valley Jexeria - derived from Jexerian cannon Jhantoria - derived from Jhantorian wine Johria- derived from Johrian whiskey Jovaria - derived from Jovarian sun fern Junobia - derived from Junobian sand flier Jurio - derived from Juriod fang-flier Kallakea - derived from Kallakean rainbow Kareas - derived from Kareas brandy Karka - derived from Karkan ribene Karlinus - derived from Karlini tea Karltonia - derived from Karltonian fiskin Karthrexia - derived from Karthrexian glacier Katalia - derived from Katalian ape Kayven - derived from Kayven wistler Kedra - derived from Kedran lipsmear Keitum - derived from Keitumite Kexeeria - derived from Kexeerian Blasters Technology Khomr - derived from Khomri tapestry Kiliea - derived from Kiliean bolt gun Kintarr - derived from Kintarrian death drum Klepthia - derived from Klepthian rock otter Kler'terria - derived from Kler'terrian Kloodavia - derived from Kloodavian Klytonia - derived from Klytonian Kobaria - derived from Kobarian swamp dog Koolach - derived from Koolach silk Kragis - derived from Bloodboilers of Kragis Kurdavvia - derived from Kurdavvian sunrise Kyoloria - derived from Kyolorian snake-god Laerdocia - derived from Laerdocian Lambaria - derived from Lambarian crab Lerct - derived from Lerct Historical Institute Lhosa - derived from Lhosan Industries Loedorvia - derived from Loedorvian brain plague Lofquar - derived from Lofquarian gooney bird Lovetus - derived from Loveti moth Lucrusia - derived from Lucrusian fengrill Luduria - derived from Ludurian nose flute Lurania - derived from Luranian brandy Lust - derived from Lost Sultans of Lust Luudria - derived from Luudrian lockjaw Lythia - derived from Lythian Pirates Ma'alkerr - derived from Ma'alkerrite Maerdocia - derived from Maerdocian Magravia - derived from Magravian cat-spice Malari - derived from Malarian Maldovea - derived from Maldovean burtalle Manaxia - derived from Manaxian amber Manella - derived from Manellan jasper Marcadia - derived from Marcadian luxury cruiser Mavinia - derived from Mavinian cluster-wedding organ Melahna - derived from Melahnese cuisine Melus - derived from Melusi Uprising Mendacia - derived from Mendacian funeral urn Merthia - derived from Merthian lung infection Meshakia - derived from Meshakian Messia - derived from Messian flame lizard Mirnic - derived from Mirnic University Miv'rah - derived from Miv'rah Firestorm Moloskia - derived from Moloskian Moobia - derived from Moobian torsion valve Moravia - derived from Moravian maneuver Morturia - derived from Morturian energy disk Muzzli - derived from Muzzlian squill Myrenia - derived from Myrenia Natalon - derived from Natalon Core Bandits Neoli - derived from Neolian Nerria - derived from Nerrian Nilgaria -derived from Nilgarian worm Nimgorrhea - derived from Nimgorrhean saber wasp Nirellia - derived from Nirellian ground slug Nomaria - derived from Nomarian thunder shark Nooli - derived from Noolian Crisis Norkronia - derived from Norkronian whistle snake Noryath - derived from Noryath meatbread Notonia - derived from Notonian mudworm Nuala - derived from Nuala marauders Numatra - derived from Numatra snake Nymalia - derived from Nymalian water-ox Octavia - derived from Octavian fruit pudding Onderia - derived from Onderian raptor Oracaia - derived from Oracaian customs frigate Orkellia - derived from Orkellian cave slug Oshora - derived from Oshoran rainbow pearl necklace Ossiathora - derived from Ossiathoran noodle Osskorn - derived from Osskorn Stout P'frorin - derived from P'frorin gotta-worm Panela - derived from Panelan feast Parliock - derived from Peacekeeping of Parliock Parwa - derived from Parwan nutricake Perthrillia - derived from Perthrillian nightwasp Pervi - derived from Pervian blood crow Pervick - derived from Pervickian dung camel Phibia - derived from Phibian beer Phr'sha - derived from Phr'shan maneuver Piluvia - derived from Piluvian salamander Plavonia - derived from Plavonian starfish Polordio - derived from Polordion smootdust Portminia - derived from Portminian Pyolli - derived from Pyollian cake Qonto - derived from Qonto Quilan -derived from Quilan Pyradex Quooria - derived from Quoorian marshsucker Ramordia - derived from Ramordian silk Ramorea - derived from Ramorean capanata Razia - derived from Razian psycho storm Rbollea - derived from Rbollean petal-oil Rhuvia - derived from Rhuvian fizz Rigovia -derived from Rigovian Technical University Rindoon - derived from Rindoon Dart Rivoria - derived from Rivorian grain-bandit Rubogea - derived from Rubogean Gambit Rulaar - derived from Rulaarian pleasure yacht Ruloosia - derived from Ruloosian sand snake Rurgavea - derived from Rurgavean Sleight Ryborea - derived from Ryborean gax Salagor - derived from 43rd Salagori Lancers Sandonia - derived from Sandonian 4XA Prensile Cruiser Santheria - derived from Santherian tenho-root Sarkania - derived from Sarkanian jelly Sewalia - derived from Sewalian algae crisps Sha'rellia - derived from Sha'rellian toop Sileria - derived from Silerian Stall Sontara - derived from Sontaran song ball Sorderia - derived from Sorderian wetfabric Sormahil - derived from Sormahil fire gem Spanthaer - derived from Spanthaer lava lamp Suria - derived from Surian tea Tarchalia - derived from Tarchalian gazelle Tarlandia - derived from Pride of Tarlandia Tarmidia - derived from Old Tarmidian Tartaria - derived from Tartarian mouse Tedonia - derived from Tedonian wine Tellanada - derived from Tellanadan moonflower Tellivar - derived from Tellivar Lady Theselon - derived from Theselonian bridal gown Tolfrania - derived from Tolfranian brief Tourani - derived from Touranian jumping stone Trupellia - derived from Trupellian probability Tyaonon - derived from Tyaonon Ranger Utrica - from X-Wing Alliance Ulmatra - derived from Ulmatran condor Uthor - derived from Uthori breix Vadooria - derived from Vadoorian sniffer rat Vanaria -derived from Vanarian tree eater Vectinia - derived from Vectinian spider Venedlia - derived from Venedlian sandmole Vendusii - derived from Vendusii crystal Velanaria - derived from Velanarian boxing Velossia - derived from Velossian Caramachi Shell-back Verdanaia - derived from Verdanaian "Sliding Hands" method Verdi - derived from Verdian vine bean Verdoria - derived from Verdorian fire rat Verossia - derived from Verossian computer Verullia - derived from Verullian land slug Vorkaa - derived from Vorkaan Vorsia - derived from Vorsian crystal Vrakolia - derived from Vrakolian Vulderania - derived from Vulderanian grain flakes Werania - derived from Weranian holocard Whelori - derived from Whelorian snake-eater Wrodi - derived from Wrodian carpet Xandonia - derived from Xandonian night terror Xerthia - derived from Xerthian hound-slug Yagara - derived from Yagaran aleudrupe plant Yankirk - derived from Yankirk Route Yantha - derived from Yanthan Yartiga - derived from Yartigan well water Ychthyton - derived from Ychthytonian Yutan - derived from Middle Yutanese Zadaria - derived from Zadarian brandy Zeolosia - derived from Zeolosian Zobbera - derived from Zobberan hound Zybahhod - derived from Zybahhod Yenyoni Zygia - derived from Zygian Savings and Loan etc.