Hexagon

A hexagon is a polygon with six sides and six angles. The sum of the interior angles of a hexagon is always 720 degrees. Each interior angle of a regular hexagon measures 120 degrees.

Properties of a Hexagon:

• Number of sides: 6
• Number of angles: 6
• Sum of interior angles: 720 degrees
• Sum of exterior angles: 360 degrees
• Each interior angle in a regular hexagon: 120 degrees

Types of Hexagons:

There are two main types of hexagons:

1. Regular Hexagon: A hexagon with all sides of equal length and all angles of equal measure.
2. Irregular Hexagon: A hexagon with sides and/or angles of different lengths and measures.

Formulas for Hexagon:

Some important formulas related to hexagons include:

• Area of Regular Hexagon: Area = (3√3 * s²)/2 (where s is the length of a side)
• Perimeter of Hexagon: Perimeter = 6 * s (where s is the length of a side)

Examples of Hexagons:

Examples of hexagons can be found in real-life objects such as honeycombs, nuts, bolts, and some forms of crystals.

Practice Questions:

1. Calculate the interior angles of a regular hexagon.
2. Find the perimeter of a regular hexagon with each side measuring 5 cm.
3. Determine the area of a regular hexagon with a side length of 8 units.

Understanding the properties and formulas related to hexagons is important for solving problems in geometry and real-world applications.