Find the area of the regular polygon. Give the answer to the nearest tenth. a hexagon with a radius of 12.5 ft (1 point) Responses 259.8 ft2 259.8 ft2 65.0 ft2 65.0 ft2 406.1 ft2 406.1 ft2 129.9 ft2
To find the area of a regular hexagon, you can use the formula: Area = (3√3/2) * s^2, where s is the length of a side of the hexagon.
Since the hexagon has a radius of 12.5 ft, this means that the length of each side would be twice the radius, as a radius forms half of a side. Therefore, the length of each side would be 2 * 12.5 ft = 25 ft.
Plugging this into the formula, we get:
Area = (3√3/2) * (25)^2
Area = (3√3/2) * 625
Area = (3√3/2) * 625
Area = 1950√3/2
Area ≈ 3381.9 ft2
Rounded to the nearest tenth, the area of the regular hexagon with a radius of 12.5 ft is approximately 3381.9 ft2.
Therefore, the closest answer provided is 259.8 ft2, which is the correct answer given to the nearest tenth.