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Sagot :
Answer:
1354.7 square inches
Step-by-step explanation:
The area of a regular n-sided polygon with side length s can be found using the formula ...
A = n·s²/(4·tan(180°/n))
For n=12 and s=11, the area is ...
A = (12(11²)/(4·tan(15°)) ≈ 1354.7 . . . . square inches
Answer:
[tex]Area = 1353.9 \: {inches}^{2} [/tex]
Step-by-step explanation:
Hint :
Area of a Regular Dodecagon
A = [tex]3 {s}^{2} (2 + \sqrt{3} )[/tex]
Answer :
The area of a regular dodecagon with 11-inch sides = [tex]3 {(11)}^{2} (2 + \sqrt{3} )[/tex]
[tex]Area = 3( {11)}^{2} (2 + \sqrt{3}) \\ = 3 \times 121 \times 3.73 \\ = 1353.9 \: {inches}^{2} [/tex]
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