Grasshopper

algorithmic modeling for Rhino

Polygon from area

Hi, 

Does anybody know how to create a polygon by introducing its area and the number of segments? I tried getting the radio of a certain area with r=√ (A/π) but it doesn't give back the same area when I intoduce this in the polygon component.

Thanks,

Martina

Views: 558

Replies to This Discussion

Permalink Reply by Vicente Soler on August 16, 2015 at 5:52pm

Assuming a regular polygon, internet says it's: r = sqrt(2*a/(n*sin(2*pi/n))). This seems to work.

If you are lazy you can always create a polygon of any radius, calculate its area and scale it using the square root of the desired area divided by the current area.

Permalink Reply by Martina Rossi on August 16, 2015 at 6:43pm

Hi Vicente, thanks for your answer. I tried the second option and it didn't work. Am I doing anything wrong?

Permalink Reply by Martina Rossi on August 16, 2015 at 6:57pm

I made it the other way, thank you!

Permalink Reply by Vicente Soler on August 17, 2015 at 4:43am

It's the square root of (the desired area divided by the current area).

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