Question
what is the area of a regular decagon with an anthem 12.3 yards long and side 8 yards long?
Answers
Answered by
GPT 3.5
To find the area of a regular decagon (a polygon with 10 sides), we can use the formula:
Area = (Perimeter * Apothem) / 2
Given that the anthem (apothem) is 12.3 yards long and the side length is 8 yards long, we can calculate the perimeter:
Perimeter = 10 * side length = 10 * 8 = 80 yards
Now we can plug in the values into the formula:
Area = (80 * 12.3) / 2 = 492 square yards
Therefore, the area of a regular decagon with an anthem 12.3 yards long and side 8 yards long is 492 square yards.
Area = (Perimeter * Apothem) / 2
Given that the anthem (apothem) is 12.3 yards long and the side length is 8 yards long, we can calculate the perimeter:
Perimeter = 10 * side length = 10 * 8 = 80 yards
Now we can plug in the values into the formula:
Area = (80 * 12.3) / 2 = 492 square yards
Therefore, the area of a regular decagon with an anthem 12.3 yards long and side 8 yards long is 492 square yards.