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AREAS Y PERIMETROS

Área del triángulo

Hallar el área y el perímetro del siguiente triángulo:

P = 2 · 11 + 7.5 = 29.5 cm

fórmulas

Cuadrado

Ejemplo

Calcular el área y el perímetro de un cuadrado de 5 cm de lado.

A = 5² = 25 cm²

Rectángulo

Ejemplo

Calcular el área y el perímetro de un rectángulo de 10 cm de base y 6 cm de altura.

P = 2 · (10 + 6) = 32 cm

A = 10 · 6 = 60 cm²

Rombo

Ejemplo

Calcular el área y el perímetro de un rombo cuyas diagonales miden 30 y 16 cm, y su lado mide 17 cm.

P = 4 · 17 = 68 cm

Área del romboide

P = 2 · (a + b)

A = b · h

Ejemplo

Calcular el área y el perímetro de un romboide de 4 y 4.5 cm de lados y 4 cm de altura.

P = 2 · (4.5 + 4) = 17 cm

A = 4 · 4 = 16 cm²

Área del trapecio

Ejemplo

Calcular el área y el perímetro del siguiente trapecio:

Área de un polígono regular

n es el número de lados

Ejemplos

Calcular el área y el perímetro de un pentágono regular de 6 cm de lado.

P = 5 · 6 = 30 cm

Calcular el área y el perímetro de un hexágono regular inscrito en una circunferencia de 4 cm de radio.

P = 6 · 4 = 24 cm

Perímetro de un círculo

Una circunferencia es el perímetro de un círculo.

La longitud de una circunferencia es igual a 2π por el radio.

La longitud de una circunferencia es igual a π por el diámetro.

Ejercicio

Calcular la longitud de una rueda de 90 cm de diámetro.

1º A partir del diámetro

2º A partir del radio

AREAS Y VOLUMNENES DE LOS CUERPOS SOLIDOS

Calcula el área lateral, total y el volumen de una pirámide cuadrangular de 10 cm de arista básica y 12 cm de altura.

Calcula la cantidad de hojalata que se necesitará para hacer 10 botes de forma cilíndrica de 10 cm de diámetro y 20 cm de altura.

Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 40 dm de ancho y 2500 mm de alto.

UNIDAD I

27.02.2013 21:32

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UNIDAD II

AREAS Y PERIMETROS

Área del triángulo

Cuadrado

Ejemplo

Rectángulo

Ejemplo

Rombo

Ejemplo

Área del romboide

Ejemplo

Área del trapecio

Ejemplo

Área de un polígono regular

Ejemplos

Perímetro de un círculo

Ejercicio

AREAS Y VOLUMNENES DE LOS CUERPOS SOLIDOS

UNIDAD I

COMENTARIOS FINALES

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