Yadda za a sami da radius daga da'irar: don taimaka dalibai

Yadda za a sami da radius daga cikin da'irar? Wannan tambaya ne ko da yaushe muhimmanci ga dalibai karatu planimetry. Kasa mu dubi wasu misalai na yadda za ka iya jimre da aiki.

Dangane da radius daga cikin da'irar aiki yanayi, za ka iya sãmun hanya.

Formula 1: R = L / 2π, inda A - ne da karkara, da kuma π - m daidaita 3.141 ...

Formula 2: R = √ (S / π), inda S - ne adadin yanki na da'irar.

Formula 3: R = D / 2 inda D - shi ne diamita daga cikin da'irar, Ina nufin da tsawon da sashe wanda, wucewa ta cikin tsakiyar adadi haɗu da biyu maximally spaced baya da maki.

Yadda za a sami da radius daga cikin circumcircle

Da farko bari mu ayyana lokaci da kanta. Karkara da ake kira da aka bayyana a lõkacin da ta shafi duk polygon vertices. Ya kamata a lura cewa a da'irar za a iya bayyana kawai a kusa da irin wannan polygon, wanda tarnaƙi, kuma malã'iku su daidaita da juna, da cewa shi ne, a kusa da wani equilateral alwatika, square, rhombus, da dai sauransu dama Don warware wannan matsala shi ne dole a samu da kewaye a polygon, kuma ya mutu daga hannunsa da kuma yankin. Saboda haka, dauke da makamai mai mulki, kamfas, kalkuleta, da kuma wani littafin rubutu da alkalami.

Yadda za a sami da radius daga cikin da'irar, idan shi ne aka bayyana a game da wani alwatika

Formula 1: R = (A * B * B) / 4S, inda A, B, C, - tsawon na alwatika tarnaƙi, kuma S - ta yanki.

Formula 2: R = A / zunubi a, inda A - da tsawon gefe daya daga cikin adadi, da zunubi da kuma - a lasafta tamanin da ba tare da na gaban kwana gefen.

A radius daga cikin da'irar da aka bayyana a kusa da dama-angled alwatika.

Formula 1: R = B / 2, inda B - hypotenuse.

Formula 2: R = M * B, inda B - hypotenuse, kuma M - da tsakãtsaki gudanar a cikinta.

Yadda za a sami da radius daga da'irar idan shi ne aka bayyana a kusa da wani yau da kullum polygon

Formula: R = A / (2 * zunubi (360 / (2 * n))), inda A - da tsawon gefe daya daga cikin adadi, kuma n - yawan bangarorin a geometrical adadi.

Yadda za a sami da radius daga cikin incircle

A rubũtacce da'irar da aka kira a lõkacin da ta shafi dukkan bangarorin na polygon. Ka yi la'akari da 'yan misalai.

Formula 1: R = S / (P / 2) inda - S, kuma R - yankin da kuma kewaye da adadi bi da bi.

Formula 2: R = (P / 2 - A) * KU (a / 2), inda P - kewaye A - tsawon na daya daga cikin jam'iyyun, da kuma - gaban wannan gefe na kwana.

Yadda za a sami da radius daga cikin da'irar, idan tanã a wani dama alwatika

Formula 1:

A radius daga cikin da'irar da ke rubuce a rhomb

A da'irar za a iya rubũtacce a wani rhombus ne equilateral da scalene.

Formula 1: R = 2 * H, inda H - tsawo daga cikin lissafi siffar.

Formula 2: R = S / (A * 2), inda S - ne yanki na rhombus, da kuma A - gefen ta tsawon.

Formula 3: R = √ ((S * zunubi A) / 4), inda S - shi ne yankin na rhombus, da kuma A zunubi - ba tare da m kwana na geometrical adadi.

Formula 4: R = V * T / (√ (V² + G²) inda B da kuma T - shi ne tsayin diagonals na geometrical adadi.

Formula 5: R = B * zunubi (A / 2), inda - da diagonal na rhombus, da kuma A - ne kwana a vertices cewa connect da diagonal.

A radius daga cikin da'irar da ke rubuce a alwatika

A cikin taron cewa a cikin matsalar da aka bã ku da tsawo daga cikin bangarorin da adadi, na farko lissafi da kewaye na alwatika (U), sa'an nan rabin-kewaye (n):

P = A + B + C, inda A, B, - da tsawo na bangarorin da lissafi adadi.

n = n / 2.

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

Kuma idan, da sanin dukkan guda uku jam'iyyun, kana ba more kuma yankin na adadi, za ka iya lissafta da ake so zangon kamar haka.

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

Formula 3: R = S / f = S / (A + B + C) / 2), inda - n - shi ne semiperimeter lissafi adadi.

Formula 4: R = (n - k) * KU (A / 2), inda n - shi ne semiperimeter alwatika A - daya daga sãsanninta, kuma KU (A / 2) - tangent na rabin wannan gefe na m kwana.

A kasa da sama dabara za su sami da radius daga cikin da'irar da ke rubuce a wani equilateral alwatika.

Formula 5: R = A * √3 / 6.

A radius daga cikin da'irar da ke rubuce a wani dama alwatika

Idan wani matsala ba da tsawon kafafu da kuma hypotenuse, sa'an nan da radius daga cikin rubũtacce da'irar kamar yadda aka gane.

Formula 1: R = (A + B-C) / 2, inda A da B - kafafu, C - hypotenuse.

A wannan yanayin, idan kun kasance kawai biyu kafa, yana da lokaci zuwa tuna da Pythagorean Theorem samu hypotenuse da kuma yin amfani da sama dabara.

C = √ (A² + B²).

A radius daga cikin da'irar cewa an rubũtacce a wani square

Circle wanda ke rubuce a wani square, ya raba duk ta 4 bangarorin daidai rabin maki na tangency.

Formula 1: R = A / 2, inda A - gefe tsawon wata square.

Formula 2: R = S / (P / 2), inda S da kuma F - yankin da kuma kewaye wani square, bi da bi.