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Instituto Universitario Tecnológico
“Antonio José de Sucre ”
Extensión Barcelona
Fórmulas de Áreas
Bachiller: Pedro Bello
C.I: 30,253,316
Barcelona, Abril 2021
Área de un cuadrado
El área de un cuadrado se calcula a partir de uno de sus
lados (a). Es el producto de la base por la altura del
cuadrado, ya que al ser ambas iguales, el área será un
lado al cuadrado.
Área de un triangulo
El área de un triángulo es igual a base por altura partido por 2.
La altura es la recta perpendicular trazada desde un vértice al lado
opuesto (o su prolongación).
Área de un rectángulo
El área del rectángulo es igual a base por altura.
Área de un trapecio
El área de un trapecio se calcula a partir de su altura y
los dos lados paralelos (a y b) o bases del trapecio. Es el
resultado de multiplicar su altura (h) y la mediana del
trapecio, que se obtiene como la media de las dos
bases a y b: M=(a+b)/2.
Área de un rombo
Existen varias fórmulas para calcular el área de un rombo.
La más común es mediante las
dos diagonales del rombo (las diagonales de un rombo
son perpendiculares). El área es la mitad del producto de
las diagonales (D y d).
Área de un rombo
Otra forma de calcular el área del rombo es mediante la
fórmula del área del paralelogramo. En este caso, un lado
(a) se considera la base del rombo. Se mide la altura (h)
relativa a dicha base, de manera que el área será el
producto de la base por la altura.
Y una tercera fórmulase obtiene a
partir del lado y un ángulo:
Área de una circunferencia
El área de una circunferencia no existe.
La circunferencia no tiene área. La circunferencia es
el perímetro del círculo. En todo caso, existe el área
comprendida dentro de la circunferencia, o lo que es lo
mismo, el área del círculo. La fórmula de ésta es:
Área de un cuarto de circunferencia
A =
𝜋 𝑥 𝑟2
4
A =
𝜋 𝑥 𝑟2
2
𝑉 = 𝐴 𝑥 (ℎ)
V= 𝜋𝑟2 x h
Área de un cilindro vacío (paredes )
Área de medio cilindro vacío (media pared)
A =
𝜋 𝑟2 𝑥 ℎ
2

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Areas pedro

  • 1. Instituto Universitario Tecnológico “Antonio José de Sucre ” Extensión Barcelona Fórmulas de Áreas Bachiller: Pedro Bello C.I: 30,253,316 Barcelona, Abril 2021
  • 2. Área de un cuadrado El área de un cuadrado se calcula a partir de uno de sus lados (a). Es el producto de la base por la altura del cuadrado, ya que al ser ambas iguales, el área será un lado al cuadrado.
  • 3. Área de un triangulo El área de un triángulo es igual a base por altura partido por 2. La altura es la recta perpendicular trazada desde un vértice al lado opuesto (o su prolongación).
  • 4. Área de un rectángulo El área del rectángulo es igual a base por altura.
  • 5. Área de un trapecio El área de un trapecio se calcula a partir de su altura y los dos lados paralelos (a y b) o bases del trapecio. Es el resultado de multiplicar su altura (h) y la mediana del trapecio, que se obtiene como la media de las dos bases a y b: M=(a+b)/2.
  • 6. Área de un rombo Existen varias fórmulas para calcular el área de un rombo. La más común es mediante las dos diagonales del rombo (las diagonales de un rombo son perpendiculares). El área es la mitad del producto de las diagonales (D y d).
  • 7. Área de un rombo Otra forma de calcular el área del rombo es mediante la fórmula del área del paralelogramo. En este caso, un lado (a) se considera la base del rombo. Se mide la altura (h) relativa a dicha base, de manera que el área será el producto de la base por la altura. Y una tercera fórmulase obtiene a partir del lado y un ángulo:
  • 8. Área de una circunferencia El área de una circunferencia no existe. La circunferencia no tiene área. La circunferencia es el perímetro del círculo. En todo caso, existe el área comprendida dentro de la circunferencia, o lo que es lo mismo, el área del círculo. La fórmula de ésta es:
  • 9. Área de un cuarto de circunferencia A = 𝜋 𝑥 𝑟2 4 A = 𝜋 𝑥 𝑟2 2
  • 10. 𝑉 = 𝐴 𝑥 (ℎ) V= 𝜋𝑟2 x h Área de un cilindro vacío (paredes ) Área de medio cilindro vacío (media pared) A = 𝜋 𝑟2 𝑥 ℎ 2