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Version vom 6. November 2013, 09:09 Uhr
Kreis
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Näherungswert/Faustformel für den Kreisumfang
U ≈ (22 / 7) · d |
A Fläche d Durchmesser r Radius U Umfang π Kreiszahl Pi (≈ 3,14159)
Kreisring
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A Kreisringfläche D Außendurchmesser d Innendurchmesser dm mittlerer Durchmesser R Radius Kreisring außen r Radius Kreisring innen b breite des Kreisrings L gestreckte Länge π Kreiszahl Pi (≈ 3,14159)
Kreisausschnitt
A = (π · d² · α) / (4 · 360°) |
A = (r · lB) / 2 |
lB = (π · d · α) / 360° |
A Fläche des Kreisausschnitts d Durchmesser r Radius lB Bogenlänge α Innenwinkel π Kreiszahl Pi (≈ 3,14159)
Kreisabschnitt
A = (lB · r - l (r - b)) / 2 |
A = (π · d² ) / 4 · (α / 360) - (l(r - b)/2) |
A = (l · r - r² · sin (l/r)) / 2 |
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lB = (π · r · α ) / 180° |
A Fläche r Radius d Durchmesser lB Bogenlänge l Sehnenlänge b Breite α Innenwinkel
Ellipse
A ≈ (π · D · d) / 4 |
A = π · R · r |
U ≈ π · (D + d) / 2 |
U ≈ π · (R + r) |
A Fläche d kleine Achse D große Achse r kleine Halbachse R große Halbachse U Umfang
Pfad: Home / Mathematik / Geometrie / Kreis