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Perímetros y áreas de polígonos regulares: desafío divertido

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Perímetros y áreas de polígonos regulares: desafío divertido

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Quiz rápido de polígonos

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Sextoc BAMR
Sextoc BAMR
Dominican Republic

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Perímetros y áreas de polígonos regulares: desafío divertido
 

Perímetros y áreas de polígonos regulares: desafío divertidoOnline version

Quiz rápido de polígonos

by Sextoc BAMR
1

Un hexágono regular tiene lado 4 cm. ¿Cuál es su perímetro P?

2

Un pentágono regular con lado 5 cm, ¿cuál es P?

3

Un octógono regular con lado 3 cm, ¿P?

4

Áreas: hexágono regular con lado 4 cm. ¿Aprox. A?

5

Área de un pentágono regular con lado 2 cm, A?

6

Si un hexágono regular tiene perímetro 30 cm, ¿largo de cada lado?

7

Para un octógono regular, A = (n a²)/(4 tan(π/n)). Si a=2, n=8, A es:

8

Un polígono regular de 12 lados (dodecágono) con lado 1 cm, P = ?

9

Cuál es la fórmula de A para un polígono regular con lado a y n lados?

10

Si un heptágono regular (n=7) tiene lado 3 cm, ¿P?

Spiegazione

El perímetro es n×lado = 6×4 = 24 cm.

P = 5×5 = 25 cm.

P = 8×3 = 24 cm.

A = (3√3/2)s² = (3√3/2)×16 = 24√3.

A = (n s²)/(4 tan(π/n)) = (5×4)/(4 tan(36°)). Resulta 5√5.

P = n×lado = 6×lado, lado = 30/6 = 5 cm.

A = (8×4)/(4 tan(22.5°)) = 8/tan(22.5°) ≈ 4/tan(22.5°)×2.

P = n×lado = 12×1 = 12 cm.

La fórmula correcta es A = (n a²)/(4 tan(π/n)).

P = 7×3 = 21 cm.

 
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