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anonymous

  • 4 years ago

How do we find the area of a nonagon if each side is 3 cm? Please and thanks.

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  1. anonymous
    • 4 years ago
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    Nanagon has nine sides. So, it forms 9 triangles with the center. Find the area of one of these triangles and multiply by 9.

  2. anonymous
    • 4 years ago
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    6,18182*3^2 = 55,6364

  3. anonymous
    • 4 years ago
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    No, it is not.

  4. anonymous
    • 4 years ago
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    \[area= \left( s ^{2}N \right) \div \left( 4\tan \left( 180/N \right) \right)\] Where s is the length of any side N number of sides in your case, N=9, s=0.03 meters

  5. anonymous
    • 4 years ago
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    It is 6.18182 not 6,18182. Also, using a formula like that blindly is silly.

  6. anonymous
    • 4 years ago
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    omar_86 - using a formula like that is also silly. Best to figure it out from the shape and triangles formed. The formula came from doing that fundamental math.

  7. anonymous
    • 4 years ago
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    Dear GT, both ways are right...

  8. anonymous
    • 4 years ago
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    Plugging values into a formula does not teach anyone anything.

  9. anonymous
    • 4 years ago
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    I did it for 7-gon. Sorry. It is a 9-gon.

  10. anonymous
    • 4 years ago
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    |dw:1327934436452:dw|

  11. anonymous
    • 4 years ago
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    |dw:1327934503376:dw|

  12. anonymous
    • 4 years ago
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    area of triangle = 1/2 * base * height = 1/2 * 3 * 4.12 = 6.18 There are nine triangles. So, the area of Nanagon = 9 * area of each triange = 9 * 6.18 = 55.62 sq units.

  13. anonymous
    • 4 years ago
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    Hope that helps you to figure out for ANY n-gon.

  14. mathmate
    • 4 years ago
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    on "It is 6.18182 not 6,18182." Dear GT, Since we are international in this study forum, it may be interesting to know that there are countries which use the comma "," instead of the decimal point. So 6,18182 is written correctly in his/her region/locality. MM

  15. anonymous
    • 4 years ago
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    all of you, thnx XD I understand it now!

  16. anonymous
    • 4 years ago
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    btw, is there a name for the formula Omar used?

  17. anonymous
    • 4 years ago
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    Oh yeah....Germans write it that way.

  18. anonymous
    • 4 years ago
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    @14yamak - the formula is nothing but an extension of my calculation. Instead of using the angles I use, you need to represent them in terms of N (number of sides). You will then get the formula by yourself.

  19. anonymous
    • 4 years ago
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    we norwegians write like that too. i'm sorry if my writing methods made some confusion

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