Question

find the lenght of side of 24 sided regular polygon inscriber in a circle given that radius is 1 metre (solve using trignometry)​

Answer 1

Answer:

In the case of our regular n-gon, we have a = b = r and C = 360°/n, so we simplify it to:

c2 = r2 + r2 - 2rr cos (360°/n)

c2 = 2r2 - 2r2 cos (360°/n)

c2 = r2 (2 - 2 cos (360°/n))

which makes a final equation:

Step-by-step explanation:

Answer 2

ANSWER:

# We have a 24 sided regular polygon, In which a = b = r and C = 360°/n

BY SIMPLIFYING IT WE"LL GET,

360°/n, so we simplify it to:

=> c2 = r2 + r2 - 2rr cos (360°/n)

=> c2 = 2r2 - 2r2 cos (360°/n)

=> c2 = r2 [2 - 2 cos (360°/n)]