MaSekisheni eDenderedzwa: Pfungwa, Mafomura, uye Mashandisirwo Muhupenyu Hwezuva Nezuva
Chikamu chedenderedzwa ipfungwa yakakosha mu geometry uye ine basa guru mukushandiswa kwakasiyana-siyana kwezuva nezuva uye kwesainzi. Izwi rekuti "chikamu" rinobva kuJavanese, zvichireva chikamu kana chikamu. Nokudaro, chikamu chedenderedzwa chinogona kutsanangurwa sechikamu chedenderedzwa chakaganhurirwa ne radii mbiri ne arc.
Tsanangudzo uye Zvikamu zveSector yeDenderedzwa
Pachitarisiko che geometriki, chikamu chedenderedzwa inzvimbo iri mukati medenderedzwa rakaganhurirwa nema radii maviri (radii) ne arc. Kuti zvive nyore kunzwisisa pfungwa iyi, ngatifungei nezvedenderedzwa rine pakati peO nemapoinzi maviri A naB pamucheto wedenderedzwa. Chikamu chedenderedzwa inzvimbo inoumbwa pakati pe radii OA, OB, ne arc AB.
Zvikamu zvikuru zvechikamu chedenderedzwa zvinosanganisira:
1. Radius (R): Mutsetse wakatwasuka kubva pakati pedenderedzwa kusvika kumucheto wedenderedzwa.
2. Arc (ARC): Chikamu chakakombama chedenderedzwa chinobatanidza mativi maviri pamucheto wedenderedzwa.
3. Central Angle (θ): Iyi ndiyo angle inoumbwa ne radii mbiri nepakati pedenderedzwa.
Fomura yeSector Circle
Kune mafomura akakosha ane chekuita nechikamu chedenderedzwa aunofanira kuziva, anosanganisira:
1. Nzvimbo yeSekisheni yeDenderedzwa
Fomura yekuverenga nzvimbo yechikamu chedenderedzwa ndeiyi:
\[
L = \frac{\theta}{360^\circ} \times \pi R^2
\]
Di mana:
– \( \theta \) ndiyo kona yepakati mumadhigirii
– \( R \) ndiyo nharaunda yedenderedzwa
– \( \pi \) ndiyo Pi isingachinji (≈ 3.14159)
2. Kureba kweArc
Fomura yekuverenga kureba kwe arc ndeiyi:
\[
s = \frac{\theta}{360^\circ} \nguva 2 \pi R
\]
Apo zviratidzo zvinomiririra zvikamu zvakafanana nezviri mufomura yenzvimbo, asi mhedzisiro yacho kureba kwearc.
3. Kureba Pakati PemaSpokes
Fomura inobatanidza radius nehurefu hwe arc inogona kurerutswa nekushandisa radians pachinzvimbo chemadhigirii:
\[
L = \frac{1}{2} R^2 \theta \text{ (muma radians)}
\]
Uye kureba kwe arc:
\[
s = R \theta \text{ (muma radians)}
\]
Mashandisirwo muHupenyu hweZuva Nezuva
Kunzwisisa zvikamu zvedenderedzwa kwakakosha kwete chete muzvidzidzo asiwo mumabasa akasiyana-siyana anoshanda. Heano mimwe mienzaniso yekuti zvikamu zvedenderedzwa zvinoshandiswa sei muhupenyu hwezuva nezuva:
1. Dhizaini uye Magadzirirwo Ezvivakwa
Mukugadzira nekuvaka, pfungwa yechikamu chedenderedzwa inowanzoshandiswa kugadzira zvivakwa zvakatenderera zvakaita semadomes, mabhiriji akakombama, uye ma amphitheater. Vachishandisa kuverenga chikamu chedenderedzwa, vagadziri vezvivakwa vanogona kuyera nekuvaka zvinhu zvakatenderera zvehukuru hwakasiyana kuti zvienderane nezvinodiwa papurojekiti.
2. Mitambo
Madenderedzwa nenzvimbo dzinowanzoonekwawo munhandare dzemitambo. Panhandare yebasketball, mutsetse une mapoinzi matatu idenderedzwa rinova denderedzwa rakakura. Panzira yekumhanya, nzvimbo yekutenderera inotenderera kuti irambe ichimhanya.
3. Tekinoroji neUinjiniya
Muhunyanzvi neinjiniya, kuverenga chikamu chedenderedzwa kunoshandiswa mukugadzira maturusi akasiyana-siyana nemichina. Semuenzaniso, mukugadzira magiya, maturbine, nezvimwe zvikamu zvakasiyana-siyana zvemakanika. Kugona kufanotaura nekuverenga chikamu chedenderedzwa kunobvumira mainjiniya kugadzira masisitimu anoshanda uye akavimbika.
4. Ruzivo rwenyeredzi
Mukuongorora nyeredzi, pfungwa yechikamu chedenderedzwa inobatsira masayendisiti kuverenga nzira dzemapuraneti nemasetiraiti anotenderera. Semuenzaniso, madenderedzwa anoonekwa anokonzerwa nekuora kwemwedzi kana kwezuva anogona kunzwisiswa nekutsanangurwa uchishandisa misimboti yechikamu chedenderedzwa.
5. Hutano
Kunyangwe muchikamu chehutano, pfungwa yezvikamu zvedenderedzwa inobatsira mukugadzira nekuongorora maumbirwo akasiyana-siyana emuviri pamwe nekushandisa zvishandiso zvakasiyana-siyana zvine hungwaru zvakaita seMRI neCT scans.
Chidzidzo Chiri Nyore
Kuti tiwedzere kunzwisisa kwedu, ngatitarisei chidzidzo chiri nyore.
Semuenzaniso, ngatitii tine pizza ine dhayamita ye20 cm. Tinoda kucheka chidimbu chepizza nekona yemadhigirii makumi mana nemashanu pakati pedenderedzwa.
Kutanga, tinosarudza nzvimbo yepizza:
\[
R = \frac{diameter}{2} = \frac{20 \text{cm}}{2} = 10 \text{cm}
\]
Tevere, tinoverenga nzvimbo yechidimbu chepizza (chikamu chedenderedzwa):
\[
L = \frac{45^\circ}{360^\circ} \nguva \pi \nguva (10 \chinyorwa{ cm})^2 = \frac{1}{8} \nguva \pi \nguva 100 \chinyorwa{ cm}^2 \inenge 39.27 \chinyorwa{ cm}^2
\]
Zvadaro, tinoverenga urefu hwearc hwechidimbu chepizza:
\[
s = \frac{45^\circ}{360^\circ} \nguva 2 \pi \nguva 10 \text{ cm} = \frac{1}{8} \nguva 2 \pi \nguva 10 \text{ cm} \approx 7.85 \text{ cm}
\]
Saka, tinoona kuti nzvimbo yechidimbu chepizza inenge 39.27 cm² uye kureba kwearc yayo inenge 7.85 cm.
Mhedziso
Chikamu chedenderedzwa ipfungwa huru yejometri ine kushandiswa kwakapararira munzvimbo dzakasiyana-siyana. Kubva pakugadzira kusvika kune tekinoroji, kubva pakuvaka kusvika kunyanzvi dzenyeredzi, kunzwisisa kwakakwana chikamu chedenderedzwa kwakakosha pakugadzirisa matambudziko akasiyana-siyana anoshanda.
Nekuziva pfungwa huru nemafomura ane chekuita nezvikamu zvakatenderera, munhu anogona kugadzirira zviri nani kutarisana nematambudziko akaomarara ehupenyu chaihwo uye kuwedzera ruzivo rwavo mune zvesainzi neinjiniya. Zvikamu zvakatenderera, kunyange zvazvo zvichiita sezviri nyore, zvinovhura mukana wekuwana zvinhu zvitsva zvikuru.
