Is this statement true or false? The area of a polygon with \( n \) sides, side length \( s \), and apothem \( a \) is \( A=\frac{1}{2} \) ans. frue false

The statement is false. The area \( A \) of a regular polygon can be accurately expressed using the formula \( A = \frac{1}{2} \times Perimeter \times Apothem \), where the perimeter is \( n \times s \). So, you need to plug in the perimeter, not just the side length and apothem separately! To visualize this concept, think of a pizza sliced into equal pieces! The central point is the apothem, and each slice has an equal side length. The area of your tasty pizza slice (polygon) depends not just on how long the crust is but also on the distance from the center to the crust! It's all about those delicious proportions!