Regular Hexagon

A regular hexagon is a six-sided polygon where all the sides are of equal length and all the angles are of equal measure. Each interior angle of a regular hexagon measures 120 degrees, and the sum of all the interior angles of a regular hexagon is 720 degrees.

Properties of a Regular Hexagon:

1. Number of Sides: A regular hexagon has six sides.
2. Equal Side Lengths: All the sides of a regular hexagon are of equal length.
3. Equal Interior Angles: Each interior angle of a regular hexagon measures 120 degrees.
4. Sum of Interior Angles: The sum of all the interior angles of a regular hexagon is 720 degrees.
5. Diagonals: A regular hexagon has nine diagonals, which are line segments connecting non-adjacent vertices.
6. Area: The formula to calculate the area of a regular hexagon is:
   A = (3√3 / 2) * s^2, where s is the length of a side.
7. Perimeter: The perimeter of a regular hexagon is the sum of the lengths of all its sides, which is equal to 6 times the length of a side.

Study Guide:

To study regular hexagons, make sure to understand the following key concepts:

• Identify and label the properties of a regular hexagon, including the number of sides, side lengths, interior angles, and diagonals.
• Understand the formula for calculating the area of a regular hexagon and be able to apply it to solve problems.
• Be familiar with the formula for finding the perimeter of a regular hexagon and know how to use it in different scenarios.
• Practice drawing regular hexagons and identifying their properties, angles, and side lengths.
• Solve problems involving regular hexagons, such as finding missing side lengths, angles, area, and perimeter.

By mastering these concepts, you will have a solid understanding of regular hexagons and be well-prepared to tackle related problems and exercises.