Answer:16.484
Explanation:
find the area of a regular polygon with n sides and radius r, we can use the formula:
Area = (n * r^2 * sin(2*pi/n)) / 2
where pi is the mathematical constant pi (approximately equal to 3.14159).
Plugging in n = 14 and r = 1, we get:
Area = (14 * 1^2 * sin(2*pi/14)) / 2
= (14 * sin(pi/7)) / 2
≈ 16.484
Therefore, the area of the polygon with 14 sides and a radius of 1 unit is approximately 16.484 square units.