Last updated on August 5th, 2025
A regular hexagon is a six-sided polygon with equal side lengths and angles. The formulas associated with a regular hexagon include those for calculating its perimeter, area, and other properties. In this topic, we will learn the formulas for a regular hexagon.
The key properties of a regular hexagon are its perimeter, area, and diagonals. Let’s learn the formulas to calculate these properties of a regular hexagon.
The perimeter of a regular hexagon is the total length of its six equal sides. It is calculated using the formula:
Perimeter = 6 × side length
The area of a regular hexagon is the total space enclosed within its six sides.
It is calculated using the formula:
Area = (3√3/2) × side length²
The diagonals of a regular hexagon connect non-adjacent vertices.
A regular hexagon has 9 diagonals.
The formula for calculating the length of the longest diagonal is:
Longest diagonal = 2 × side length
In math and real life, we use regular hexagon formulas to calculate dimensions and understand design structures.
Here are some important uses of regular hexagon formulas:
- Hexagons are used in tiles and flooring for efficient space usage.
- Understanding these formulas helps in areas like geometry, design, and architecture.
- The structural integrity of honeycombs is based on hexagonal shapes.
Students often find math formulas tricky and confusing. Here are some tips and tricks to master the regular hexagon formulas:
- Remember that a hexagon has six sides, so many calculations revolve around the number six.
- Visualize hexagons in nature, like honeycombs or snowflakes, to connect with real-life applications.
- Use flashcards to memorize the formulas and create a formula chart for quick reference.
Students make errors when calculating properties of regular hexagons. Here are some mistakes and ways to avoid them:
Find the perimeter of a regular hexagon with a side length of 4 units.
The perimeter is 24 units.
To find the perimeter, multiply the side length by the number of sides:
Perimeter = 6 × 4 = 24 units.
Calculate the area of a regular hexagon with a side length of 5 units.
The area is 64.95 square units.
To find the area, use the formula:
Area = (3√3/2) × 5² ≈ 64.95 square units.
Determine the length of the longest diagonal in a regular hexagon with a side length of 3 units.
The longest diagonal is 6 units.
To find the longest diagonal, use the formula:
Longest diagonal = 2 × 3 = 6 units.
If a regular hexagon has a perimeter of 48 units, find the side length.
The side length is 8 units.
To find the side length, divide the perimeter by the number of sides:
Side length = 48 / 6 = 8 units.
A hexagon tile has a side length of 2 units. Calculate its area.
The area is 10.39 square units.
To find the area, use the formula: Area = (3√3/2) × 2² ≈ 10.39 square units.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.