What is the area of a regular decagon with an apothem of 9.2 yards long and a side of 6 yards long?
To find the area of a regular decagon, you can use the formula:
Area = (Perimeter * Apothem) / 2
First, we need to find the perimeter of the decagon. Since a regular decagon has 10 equal sides, the perimeter can be calculated as:
Perimeter = 10 * side length = 10 * 6 yards = 60 yards
Next, plug the values into the formula:
Area = (60 * 9.2) / 2
Area = 552 / 2
Area = 276 square yards
Therefore, the area of a regular decagon with an apothem of 9.2 yards and a side of 6 yards is 276 square yards.