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Área de un polígono compuesto

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Cálculo de áreas combinadas

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Área de un polígono compuesto
 

Área de un polígono compuestoOnline version

Cálculo de áreas combinadas

by Rosaura Diaz
1

Slide 1: Idea central

En este ejercicio se calculan áreas de figuras combinadas: semicírculo, rectángulo y trapecio. Se suman para obtener el área total del terreno.
2

Slide 2: Partes del terreno

El terreno se divide en tres partes: **semicírculo**, **rectángulo** y **trapecio**. Cada una se calcula por separado.
3

Slide 3: Semicírculo

Para el semicírculo, usa la fórmula: Área = (1/2) · π · r². Con radio r, obtienes 56.52 m² cuando r = 6 m.
4

Slide 4: Rectángulo

Para el rectángulo, Área = base · altura. En el ejemplo, la altura es 6 m y la base corresponde a la extensión del terreno.
5

Slide 5: Trapecio

Para el trapecio, Área = (base mayor + base menor) / 2 · altura. Verifica las longitudes de las bases y la altura.
6

Slide 6: Uniendo las áreas

Una vez calculadas, las áreas se suman: área total = área semicírculo + área rectángulo + área trapecio.
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Slide 7: Valores numéricos

Ejemplo: semicírculo ≈ 56.52 m², rectángulo ≈ 60 m², trapecio ≈ 30–90 m² según medidas.
8

Slide 8: Cálculo paso a paso

Paso 1: calcular cada área. Paso 2: sumar resultados parciales. Paso 3: redondear al decimal deseado.
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Slide 9: Resultado final

Área total del terreno ≈ 146.52 m², según las dimensiones dadas en el problema.
10

Slide 10: Revisa y aplica

Comprueba unidades, revisa bases y alturas, y garantiza consistencia antes de reportar el total.
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