Kodi kupeza utali wozungulira bwalo: kuthandiza ophunzira

Kodi kupeza utali wozungulira bwalo? Funso limeneli n'kofunika kuti ophunzira kuphunzira planimetry nthawi zonse. Pansipa ife tione zitsanzo zingapo za mmene mungathane nawo ntchitoyo.

Malinga ndi utali wozungulira wa zinthu bwalo ntchito, mukhoza kupeza njira.

Chilinganizo 1: R = L / 2π, kumene A - ndi wa circumference, ndi π - zonse wofanana 3.141 ...

Chilinganizo 2: R = √ (S / π), kumene S - ndi kuchuluka kwa malo a bwalo.

Chilinganizo 3: R = D / 2 komwe D - ndi m'mimba mwake mwa bwalo, i.e. kutalika kwa gawo limene, adapyola pakati pa zimakwana zikugwirizana ndi awiri maximally spaced popanda mfundo.

Kodi kupeza utali wozungulira circumcircle ndi

Choyamba tiyeni tanthauzo la mawu akuti yokha. Circumference wotchedwa anafotokoza pamene zikukhudza polygon mfundo zonse. Tikumbukenso kuti bwalo tinganene okha mozungulira polygon amenewa, amene mbali ndi kumathandiza kupeza ngodya zabwino ndi ofanana ndi mzake, ndiye mozungulira makona equilateral, lalikulu, rhombus, etc. bwino Kuti athetse vutoli m'pofunika kupeza kukafika kutsogolo kwa polygon, nafa m'manja mwake ndi deralo. Choncho, zida ndi mtsogoleri, kampasi, Chiwerengero, ndi kope ndi cholembera.

Kodi kupeza utali wozungulira bwalo, ngati akufotokozedwa kansalu ndi

Chilinganizo 1: R = (A * B * B) / 4S, kumene A, B, C, - kutalika kwa mbali makona, ndipo S - malo ake.

Chilinganizo 2: R = A / tchimo, kumene A - kutalika kwa mbali imodzi ya chithunzi, ndipo tchimo ndi - ndi masamu mtengo wa sine wa kutsidya lina njingayo.

The utali wozungulira bwalo anafotokoza kuzungulira makona bwino-angled.

Chilinganizo 1: R = B / 2, pamene B - hypotenuse.

Chilinganizo 2: R = M * B, kumene B - hypotenuse, ndi M - ndi apakatikati imachitika thereto.

Kodi kupeza utali wozungulira bwalo ngati akufotokozedwa kuzungulira polygon zonse

Chilinganizo: R = A / (2 machimo (360 / (2 * n))), kumene A - kutalika kwa mbali imodzi ya chithunzi, ndipo N - chiwerengero cha mbali mu chithunzi geometrical.

Kodi kupeza utali wozungulira incircle ndi

Bwalo alembedwa amatchedwa pamene agwiritsidwa kwa mbali zonse polygon lapansi. Taonani zitsanzo zingapo.

Chilinganizo 1: R = S / (P / 2) - S ndi R - m'dera ndi kukafika kutsogolo kwa zimakwana motero.

Chilinganizo 2: R = (P / 2 - A) * tg (a / 2), kumene P - wozungulira A - kutalika kwa wina maphwando, ndi - zosiyana mbali iyi ya ngodya ya.

Kodi kupeza utali wozungulira bwalo, ngati alembedwa kansalu bwino

Chilinganizo 1:

The utali wozungulira bwalo lomwe linalembedwa mu rhomb ndi

bwalo A akhoza alembedwa rhombus aliyense ndi equilateral ndi scalene.

Chilinganizo 1: R = 2 * H, kumene H - kutalika kwa mawonekedwe zojambula.

Chilinganizo 2: R = S / (A * 2), kumene S - ndi dera rhombus ndi, ndipo A - mbali ya m'litali.

Chilinganizo 3: R = √ ((S machimo A) / 4), kumene S - ndi dera rhombus, ndipo tchimo A - sine pachimake ngodya ya chithunzi geometrical.

Chilinganizo 4: R = V * T / (√ (V² + G²) komwe B ndipo T - ndi kutalika kwa diagonals wa chithunzi geometrical.

Chilinganizo 5: R = B tchimo * (A / 2), kumene - pa opendekera wa rhombus, ndipo A - ndi mbali pa mfundo zimene kugwirizana opendekera.

The utali wozungulira bwalo lomwe linalembedwa mu makona ya

Kukachitika kuti mu vuto mwapatsidwa utali wa m'mbali mwa chithunzi, choyamba kuwerengera kukafika kutsogolo kwa makona (U), ndiyeno theka wozungulira (n):

P = A + B + C, kumene A, B, - kutalika kwa mbali ya chithunzi zojambula.

N = N / 2.

Chilinganizo 1: R = √ ((p-A) * (n-D) * (n-B) / n).

Ndipo ngati, podziwa zonse yemweyo maphwando atatu, mwapatsidwa ndi dera zimakwana, mukhoza kuwerengera osiyanasiyana anakhumba motere.

Chilinganizo 2: R = S * 2 (A + B + C)

Chilinganizo 3: R = S / f = S / (A + B + C) / 2), kumene - N - ndi semiperimeter zojambula chithunzi.

Chilinganizo 4: R = (n - k) * tg (A / 2), kumene N - ndi semiperimeter makona A - mmodzi wa m'mphepete Mwake, ndipo tg (A / 2) - tangent mbali iyi theka la mbali zosiyana.

A pansipa chilinganizo pamwamba adzapeza utali wozungulira bwalo amene alembedwa ndi makona equilateral.

Chilinganizo 5: R = A * √3 / 6.

The utali wozungulira bwalo lomwe linalembedwa mu kansalu bwino

Ngati vuto anapatsidwa kutalika kwa miyendo ndi hypotenuse, ndiye utali wozungulira bwalo alembedwa ngati anazindikira.

Chilinganizo 1: R = (A + B-C) / 2, pamene A ndi B - miyendo, C - hypotenuse.

Zikatero, ngati muli awiri okha mwendo, ndi nthawi kukumbukira Lingaliro Lovomerezeka Pythagorean kupeza hypotenuse ndi kugwiritsa ntchito mfundo pamwamba.

C = √ (A² + B²).

The utali wozungulira bwalo kuti linalembedwa mu lalikulu ndi

Circle amene alembedwa lalikulu ndi, ukugawa 4 mbali zake zonse ndendende theka mfundo za tangency.

Chilinganizo 1: R = A / 2, pamene A - mbali kutalika lalikulu ndi.

Chilinganizo 2: R = S / (P / 2), kumene S ndi F - m'dera ndi kukafika kutsogolo kwa lalikulu ndi, motero.