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14
Find the area of the regular polygon. Round your answer to the nearest tenth.
13.07 in
10 in
A
B
с
176.6 in 2
966.1 in.?
80.0 in 2
483.0 in.2

14 Find the area of the regular polygon Round your answer to the nearest tenth 1307 in 10 in A B с 1766 in 2 9661 in 800 in 2 4830 in2 class=

Respuesta :

dsdrajlin

Answer:

A = 483.0 in²

Step-by-step explanation:

Step 1: Given data

  • Circumcircle radius of the polygon (R): 13.07 in
  • Side length of the polygon (a): 10 in

Step 2: Find the area of the regular polygon

We have a regular polygon with 8 sides, that is, an octagon. We can calculate the area (A) of an octagon using the following expression.

A = 2 × √2 × R²

A = 2 × √2 × (13.07 in)²

A = 483.0 in²