Yadda yin lissafi da yanki na wani sashi daga wani mai siffar zobe kashi da kuma yankin

A ilmin lissafi darajar da yankin da aka sani tun da sau na zamanin d Girka. Back a cikin waɗannan kwanaki da Helenawa gano cewa, yankin ne a ci gaba da kashi na surface, wanda aka daure a kan dukkan bangarorin da rufaffiyar madauki. Wannan shi ne wani Tazarar darajar da aka auna a square raka'a. Yankin ne mai lamba halayyar matsayin wani lebur geometrical Figures (planimetric) da kuma saman na jikuna a sarari (girma).

A halin yanzu, ta samu ba kawai a cikin makaranta manhaja a cikin darussan da na lissafi da kuma ilmin lissafi, amma kuma a cikin ilmin taurari, rayuwa a yi, aikin injiniya ci gaba, samar da a wasu duniyoyin da aiki na mutum. Sau da yawa sosai, yin lissafi da yankin segments mu koma a kan mãkirci a cikin zane na wuri mai faɗi yankunan ko gyara aikin ultramodern zane sarari. Saboda haka, hanyoyin da kirga fannin ilimi na daban-daban na lissafi siffofi amfani a kowane lokaci kuma a ko'ina.

Don lissafi da yanki na wani madauwari kashi da kashi na wani Sphere wajibi ne don magance lissafi sharuddan, wanda za a bukata a lokacin da sarrafa kwamfuta tsari.

Na farko, wani ɓaɓɓake aka kira kashi na da'irar da'irar jirgin adadi wanda an zubar da tsakanin madauwari baka da tsirkiya cutoff. Ba shi daraja da za a rikita batun tare da manufar bangaren adadi. Wadannan su ne gaba daya daban-daban abubuwa.

A tsirkiya aka kira wani sashi cewa haɗu da maki biyu a kan da'irar.

A tsakiyar kwana kafa tsakanin biyu Lines - radii. An auna a digiri na baka, a kan wanda ya ginu ne.

Sphere kashi kafa ta yankan kashe wani jirgin sama na ball (Sphere). Kamar wancan samu siffar zobe kashi tushe da'irar, da kuma tsawo perpendicular emanating daga cikin da'irar cibiyar da mahada da surface na Sphere. Wannan batu na rarrabawa da aka kira da kokuwa na ball kashi.

A don ƙayyade da ikon yinsa, daga cikin kashi yanki, kana bukatar ka sani cikin tsawon na karkara na da gutsure iyaka da tsawo daga cikin ball. A samfurin na wadannan biyu aka gyara, kuma zai kasance cikin yankin mai siffar zobe kashi: S = 2πRh, inda h - tsawo daga cikin kashi, 2πR - karkara, da kuma R - da radius daga cikin manyan da'irar.

Don lissafi da yankin na da'irar kashi, za ka iya koma ga wadannan dabarbari:

1. Don gano wuri da kashi yanki a cikin sauki hanyar, shi wajibi ne yin lissafi da bambanci tsakanin bangaren yankin a cikin abin da aka rubũtacce kashi da kuma yanki na wani isosceles alwatika wanda tushe ne tsirkiya kashi: S1 = S2-S3, a cikinsa S1 - kashi yankin, S2 - kansu yankin kuma S3 - fannin alwatika.

Yana yiwuwa a yi amfani da m dabara lissafi yanki na wani madauwari kashi: S = 2/3 * (a * h), inda a - tushe na alwatika ko na tsirkiya tsawon, h - tsawo daga cikin kashi cewa shi ne sakamakon da bambanci tsakanin da'irar radius da tsawo daga cikin isosceles alwatika.

2. A yankin na kashi, wanda ya bambanta daga rabin zoɓe lasafta kamar haka: S = (π R2: 360) * α ± S3, inda π R2 - yanki na da'ira, α - digiri awo na tsakiyar kwana, wanda ya hada da wani baka kashi na da'ira, S3 - alwatika yanki wanda aka kafa tsakanin biyu radii na da'irar da wani tsirkiya rike kwana a cibiyar aya daga cikin da'irar da biyu vertices a wuraren lamba radii da karkara.

Idan kwana α <180 digiri, da alamar debewa da ake amfani da idan α> 180 digiri, da da alamar an yi amfani.

3. lissafta yankin na kashi iya zama, da kuma sauran hanyoyin yin amfani da trigonometry. Matsayin mai mulkin, tushen alwatika. Idan tsakiya kwana da aka auna da darajõji ne m idan wadannan dabara: S = R2 * (π * (α / 180) - zunubi α) / 2, inda R2 - da'irar radius Squared, α - digiri awo na tsakiyar kwana.

4. Domin yin lissafi da yanki na wani sashi amfani da trigonometric ayyuka, kuma za a iya amfani da sauran dabara bayar cewa tsakiyar kwana da aka auna a radians: S = R2 * (α - zunubi α) / 2, inda R2 - da'irar radius Squared, α - digiri awo tsakiyar kwana.