What is the area of a regular decagon with an apothem of 9.2 yards long and a side of 6 yards long?(1 point) Responses
The area of a regular decagon can be calculated using the formula:
Area = (Perimeter * Apothem) / 2
First, we need to calculate the perimeter of the decagon. Since a regular decagon has 10 equal sides, the perimeter would be:
Perimeter = 10 * Side = 10 * 6 yards = 60 yards
Now, we can plug in the values for the perimeter and apothem into the formula:
Area = (60 * 9.2) / 2
Area = 552 / 2
Area = 276 square yards
Therefore, the area of the regular decagon is 276 square yards.