Question

How do I do this? It is a regular hexagon with a height of 30. We have to find the perimeter of it.

Answer 1

Answer:

The radius of a hexagon is called the apothem, which in this case is 15.

We need to know the side length which is found by the equation:

side length = apothem * 2 * (tan (180 / #sides))

side length = apothem * 2 * (tan (180 / 6))

side length = 15 * 2 * (tan (30 degrees))

side length = 30 * .57735

side length = 17.3205

We need the perimeter of the hexagon which equals the side length times six.

perimeter = 6 * 17.3205 = 103.923

Source: https://www.1728.org/polygon.htm

Step-by-step explanation: