Question

calculate the area of the regular polygon.
80 cm
69.2 cm

enter the answer in the space provided. use numbers instead of words.

square centimeters

Explanation:

Step1: Recall area formula for regular polygon

The area formula for a regular polygon is $A=\frac{1}{2}aP$, where $a$ is the apothem and $P$ is the perimeter. The apothem is the distance from the center of the polygon to the mid - point of a side, here $a = 80$ cm. For a regular hexagon, if the side length $s=69.2$ cm, the perimeter $P = 6s$.

Step2: Calculate the perimeter

$P=6\times69.2=415.2$ cm.

Step3: Calculate the area

$A=\frac{1}{2}\times80\times415.2$.
$A = 40\times415.2=16608$ $cm^{2}$.

Answer:

16608