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slamgirl [31]
3 years ago
7

Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

L=3.999 \: dm

A=183.4581\:dm^{2}

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

a_{p}=L\frac{2+\sqrt{3}}{2}

Sabiendo que la apotema es 7.464 el lado sera:

L=\frac{2*a_{p}}{2+\sqrt{3}}

L=\frac{2*7.464}{2+\sqrt{3}}

L=3.999 \: dm

Por otro lado el area de un dodecágono regular esta dada por:

A=6a_{p}L

A=6*7.646*3.999

A=183.4581\:dm^{2}

Espero te haya sido de ayuda!

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