raeganbrown raeganbrown
  • 03-07-2021
  • Mathematics
contestada

How do angles inside a polygon affect the sides of the polygon?

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caylus
caylus caylus
  • 03-07-2021

Hello,

Let 's  n the number of sides,

R the radius of the circonscrit circle,

c the side of the polygon (c like côté)

Angle in the center is 360/n and its half is 180/n

(c/2)/R=sin(180/n)

Inside angles are (180-360/n)/2 = 90-180/n (°)

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