12.3: Fórmulas geométricas
- Page ID
- 114298
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Tabla C1 - 2 Dimensiones
| Nombre | Forma | Fórmulas |
|---|---|---|
| Rectángulo |  |
Perímetro: P =\(2l + 2w\) Área: A =\(lw\) |
| Cuadrado |  |
Perímetro: P = 4s Área: A = s 2 |
| Triángulo |  |
Perímetro: P = a + b + c Área: A =\(\dfrac{1}{2}\) bh Suma de ángulos: A + B + C = 180° |
| Triángulo Recto |  |
Teorema de Pitágoras: a 2 + b 2 = c 2 Área: A =\(\dfrac{1}{2}\) ab |
| Círculo |  |
Circunferencia: C = 2\(\pi\) r o C =\(\pi\) d Área: A =\(\pi\) r 2 |
| Paralelogramo |  |
Perímetro: P = 2a + 2b Área: A = bh |
| Trapezoide |  |
Perímetro: P = a + b + c + B Área: A =\(\dfrac{1}{2}\) (B + b) h |
Tabla C2 - 3 Dimensiones
| Nombre | Forma | Fórmulas |
|---|---|---|
| Sólido Rectangular |  |
Volumen: V =\(lwh\) Superficie: SA =\(2lw + 2wh + 2hl\) |
| Cubo |  |
Volumen: V = s 3 Superficie: SA = 6s 2 |
| Cono |  |
Volumen: V =\(\dfrac{1}{3} \pi r^{2} h\) Superficie: SA =\(\pi r^{2} + \pi r \sqrt{h^{2} + r^{2}}\) |
| Esfera |  |
Volumen: V =\(\dfrac{4}{3} \pi r^{3}\) Superficie: SA =\(4 \pi r^{2}\) |
| Cilindro Circular Derecho |  |
Volumen: V =\(\pi r^{2} h\) Superficie: SA =\(2 \pi r^{2} + 2 \pi rh\) |