A Silinda, Silinda yanki

Silinda (samu daga Greek, daga kalmomin "nadi", "nadi") - a lissafi jiki wanda aka bayyana da waje surface kira cylindrical, da kuma biyu jirage. Wadannan jirage rarraba da surface siffar da suke a layi daya da juna.

A cylindrical surface - wani surface cewa an samu translational motsi a mike layin a cikin sarari. Wadannan gwagwarmayoyi ne irin wannan cewa zaba batu na mike layin sa motsi tare da kwana na lebur irin. Wannan mike layin da aka kira wani janareta, amma a kwana - da mai shiryarwa.

A Silinda kunshi wata biyu daga sansanonin da kuma a kaikaice cylindrical surface. Cylinders zo a dama siffofin:

1. Madauwari, mike Silinda. A wani tushe na Silinda da perpendicular zuwa jagora line generatrix, kuma yana da wani axis of fasali.

2. A karkata Silinda. Yana kwana tsakanin sa line da ƙasa ba mai saukin ganewa.

3. Silinda wasu nau'i. Hyperbolic, elliptic, parabolic, da sauransu.

A yankin na Silinda, da jimlar surface yankin na kowane Silinda aka samu ta ƙara cikin yankunan da kwasfa na adadi da kuma gefen surface area.

A dabara da calculates jimlar yankin na Silinda ga madauwari, mike Silinda:

Sp = RH + 2n 2n 2n R2 = R (h + R).

Kaikaice surface yankin da aka nemi shi ne dan kadan mafi rikitarwa fiye da dukan yankin na Silinda, shi da aka lasafta ta halitta da tsawon da sa layin a kewaye da giciye sashe kafa ta a jirgin sama wanda yake perpendicular zuwa generatrix line.

Wannan surface yankin zuwa wani madauwari Silinda, a dama Silinda gane da scan na abu.

Dauki hoto - wani murabba'i mai dari cewa yana da tsawo h da kuma tsawon P, wanda daidai da tushe kewaye.

Wannan ya nuna cewa Silinda kaikaice yanki ne daidai da scanning yankin da kuma za a iya lasafta ta wannan dabara:

SB = Ph.

Idan ka dauki wani madauwari, mike Silinda, sa'an nan ga shi:

P = 2n R, kuma SB = 2n RH.

Idan karkata Silinda, yankin na gefen surface ya zama daidai da samfurin na tsawon na ta janareta Lines da giciye sashe na kewaye da shi ne perpendicular zuwa wannan sa line.

Abin baƙin ciki, akwai wani sauki dabara domin bayyana da yankin na kaikaice surface na karkata Silinda ta hanyar rufinta, kuma da sigogi na karkashi.

Don lissafi da yankin na Silinda sashe, dole ne ka san 'yan facts. Idan giciye sashe na ta jirgin sama tushe crosses, da giciye-sashe ne ko da yaushe wani murabba'i mai dari. Amma wadannan rectangles zai zama daban-daban, dangane da sashe matsayi. Gefe daya daga cikin axial sashe na adadi, wanda shi ne perpendicular da tushe daidaita da tsawo, da kuma sauran - diamita daga cikin tushe na Silinda. A bangaranci yanki na irin wannan, bi da bi, daidai da samfurin na gefe ɗaya na murabba'i mai dari zuwa sauran, perpendicular zuwa na farko, ko da samfurin na da tsawo daga cikin adadi ga diamita daga karkashi.

Idan giciye sashe ne perpendicular da tushe adadi, amma ba zai wuce ta wurin juyawa axis, yankin na wannan sashe zai zama daidai da samfurin na da tsawo daga cikin Silinda, da kuma a wasu tsirkiya. Don samun tsirkiya, shi wajibi ne don gina wata da'ira a kasa daga cikin Silinda radius rike da motsa shi tafi, wanda shi ne wani bangaranci view. Kuma daga wannan lokaci za ka bukatar wani perpendicular zuwa radius daga mahada tare da da'irar. A mahada da maki suna da alaka da cibiyar. A tushe na alwatika - ne da ake buƙata tsirkiya, da tsawon wadda ake nẽman ta da Pythagorean Theorem. The Pythagorean Theorem ne: "The Naira Miliyan Xari da murabba'ai na ƙafãfu biyu ne daidai da hypotenuse Squared":

C2 = A2 + B2.

Idan sashe ba ya shafar tushe daga cikin Silinda da kuma Silinda kanta, da kuma wani madauwari line, yankin da wannan giciye sashe da aka samu a matsayin yanki na da'irar.

A fannin da'ira ne daidai to:

S env. 2n = R2.

Don nemo radius daga cikin da'irar R, shi wajibi ne su raba wa tsawon na C 2n:

R = C \ 2n, inda n - pi, da ilmin lissafi m lasafta ga bayanan da circumferentially daidai 3.14.