# Regular hexagon - Examples, Exercises and Solutions

## Calculation of the Area of a Regular Hexagon - Let's Calculate It This Way!

The regular hexagon belongs to the family of regular polygons. It is a polygon in which all sides, and all angles, are equal to each other. By its name, we can understand that it is a geometric figure with $6$ different sides. The sum of its internal angles equals $720^o$ degrees. Therefore:

external angle $=60^o$ ; internal angle $=120^o$

## Practice Regular hexagon

### Exercise #1

A hexagon has a sides measuring 5 cm.

What is the area of the hexagon?

64.95 cm²

### Exercise #2

A hexagon has sides
measuring 6 cm long.

What is the area of the hexagon?

93.53 cm²

### Exercise #3

A hexagon has an area of 8 cm².

How long are the sides of the hexagon?

### Video Solution

$\sqrt{3}$ cm

### Exercise #4

Given the hexagon in the drawing:

What is the area?

166.27

### Exercise #5

Given the hexagon in the drawing:

What is the area?

64.95

### Exercise #1

Given the hexagon in the drawing:

What is the area?

41.56

### Exercise #2

Given the hexagon in the drawing:

What is the area?

127.3

### Exercise #3

A hexagon has an area of 49 cm².
How long are the sides of the hexagon?

4.34 cm

### Exercise #4

Below is an elaborated hexagonal area equal to 6 cm².

How long are the sides of the hexagon?

1.154 cm

### Exercise #5

A hexagon has an area of 12 cm².

How long are the sides of the hexagon?

2.149 cm

### Exercise #1

The hexagon below has an area of $(\sqrt{3})^3$ cm².

Calculate the length of the hexagon's sides.

### Video Solution

$\sqrt{2}$ cm

### Exercise #2

Given the hexagon whose area is equal to 25 cm².

Calculates the perimeter

18.6 cm

### Exercise #3

A hexagon has a perimeter of 72 cm.

Calculate the area of the hexagon.

374.12 cm²

### Exercise #4

A hexagon has an area of 50 cm².

What is the perimeter of the hexagon?

26.32 cm

### Exercise #5

A hexagon has a perimeter of 48 cm.

Calculate the area of the hexagon.