Find the area of a regular hexagon with side length of 12.7 and apothem length of 11.
To find the area of a regular hexagon, we can use the formula:
Area = (perimeter * apothem) / 2
First, let's find the perimeter of the hexagon. Since a regular hexagon has 6 equal sides, the perimeter is:
Perimeter = 6 * side length
Perimeter = 6 * 12.7
Perimeter = 76.2
Now, we can plug in the values for the perimeter and the apothem length into the formula:
Area = (76.2 * 11) / 2
Area = 838.2 / 2
Area = 419.1
Therefore, the area of the regular hexagon is 419.1 square units.