Finding the Missing Measures in a Hexagon
Find the missing measures in this regular hexagon.
The length of the apothem of the hexagon is about
inches.
The perimeter of the hexagon is
winches.
The area of the hexagon is about
inches.
square
16 in.
16 in.

Step-by-step explanation:

We know that the given hexagon has a radius of 16 inches and each side is also 16 inches.

It's important to know that the apothem is a line which goes from the center of the hexagon to the middle point of a side. So, the apothem, the radius and half-side form a right triangle, that means we can find the apothem using Pytagorean's Theorem.

Therefore, the apothem is 17.9 inches, approximately.

The perimeter is defined as the sum of all sides, which in this case are 6 and all equal.

Therefore, the perimeter is 96 inches.

The area of a regular hexagon is defined as

Where

Therefore, the area is around 553.8 square inches.