ivlh2 ivlh2
  • 25-05-2021
  • Mathematics
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Find the area of the Regular Octagon below and show all mathematical reasoning.

Find the area of the Regular Octagon below and show all mathematical reasoning class=

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sqdancefan
sqdancefan sqdancefan
  • 25-05-2021

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

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