Question

Find the missing measures in this regular hexagon. a regular hexagon has side lengths of 16 inches. the radius is 16 inches. an apothem is shown. the length of the apothem of the hexagon is about inches. the perimeter of the hexagon is inches. the area of the hexagon is about square inches.

Answer 1

Answer:

13.9, 96.0, and 667.2.

Step-by-step explanation:

Answer 2

The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular hexagon has side lengths of 16 inches. the radius is 16 inches.

The length of the apothem (h) of the hexagon is about inches.

$\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches$

The perimeter of the hexagon is inches.

$\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches$

The area of the hexagon is about square inches.

$\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2$

More about the polygon link is given below.

brainly.com/question/17756657