Formelsammlung Vierecke Rechteck: u = a · 2 + b · 2 = 2a + 2b u = (a + b) · 2 A = a · b d = √ _a 2 + b2 Quadrat: u = a · 4 = 4a A = a2 d = a√ _ 2 A = d2 _ 2 allgemeines Parallelogramm (Rhomboid): u = a · 2 + b · 2 = 2a + 2b u = (a + b) · 2 A = a · ha A = b · hb Raute (Rhombus): u = a · 4 = 4a A = a · h A = e · f _ 2 a = √ _ ( e _ 2 ) 2 + ( f _ 2 ) 2 Trapez: u = a + b + c + d A = (a + c) ∙ h _ 2 gleichschenkliges Trapez (d = b): u = a + 2b + c A = (a + c) _ 2 · h a = c + 2x e = f = √ _(a – x) 2 + h2 Deltoid: u = 2 ∙ (a + b) A = e ∙ f _ 2 a = √ __________ x 2 + ( f _ 2 ) 2 b = √ __________ y 2 + ( f _ 2 ) 2 e = x + y regelmäßiges Sechseck: u = 6a A = 6 · a · ha ____ 2 A = 3 · a · ha d a a A B C D b b d a A a B C D a a A B C D a a b b ha hb h A B C D a a a a f e h A B D C m a b d c A B D C d = b a c e h b A D B a f e a b b C α β γ δ x y A a B C E D F a a a a a a a M ha Kreis Kreis: u = 2r · π = d · π π = 3,14159… A = r2 · π Kreissektor (Kreisausschnitt): b = r π α _ 180 α in Grad A = r 2 · π · α _ 360 α in Grad A = b · r _ 2 Kreisring: u = 2r · (r1 + r2) A = (r1 2 – r 2 2) · π M r d r r b M a M r1 r2 247 Nur zu Prüfzwecken – Eigentum des Verlags öbv
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