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What is the area of the regular 30​-gon with radius 15 mm?

 Apr 27, 2022
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This will form 30 congruent  triangles   

 

Each triangle  will  have an included angle of   360  / 30   = 12°   

 

And the sides surrounding this angle = 15

 

So  the  area  of these 30 triangles  =

 

30  (1/2) (15)^2  * sin (12°)  =

 

15^3 * sin (12°)  ≈   701.7 mm^2

 

cool cool cool

 Apr 28, 2022

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