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.
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
1 answer