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vichka [17]
3 years ago
6

9. Hallar el perímetro de la figura sombreada.

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Respuesta:

Perímetro de la parte sombreada = (6pi + 24)

Explicación paso a paso:

Encuentra el diagrama adjunto

Primero necesitamos encontrar el perímetro de los semicírculos externos que sobresalen

Diámetro del semicírculo = 1/2 de la longitud del lado del cuadrado

Diámetro del semicírculo = 1/2 × 6 m = 3 m

Perímetro de los 4 semicírculos = 4 (pi d)

Perímetro de los 4 semicírculos = 4 × 3,14 × 3

Perímetro de los 4 semicírculos exteriores = 1

2pi cm

Para la parte interior sombreada = Perímetro de todo el cuadrado - Perímetro de semicírculo (2 cuadrantes)

Perímetro del cuadrado entero = 4 (6) = 24m

Perímetro de los 2 cuadrantes = pi d

Perímetro de los 2 cuadrantes = 6pi cm

Para la parte sombreada interior, perímetro = 24-6pi

Perímetro de la parte sombreada = 12pi + 24-6pi

Perímetro de la parte sombreada = (6pi + 24) cm

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