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 6 different sides. The sum of its internal angles equals 720o 720^o degrees. Therefore:

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

1.a - the area of a hexagon

Practice Regular hexagon

Exercise #1

A hexagon has a sides measuring 5 cm.

What is the area of the hexagon?

555

Video Solution

Answer

64.95 cm²

Exercise #2

A hexagon has sides
measuring 6 cm long.

What is the area of the hexagon?

666

Video Solution

Answer

93.53 cm²

Exercise #3

A hexagon has an area of 8 cm².

How long are the sides of the hexagon?

S=8S=8S=8

Video Solution

Answer

3 \sqrt{3} cm

Exercise #4

Given the hexagon in the drawing:

888

What is the area?

Video Solution

Answer

166.27

Exercise #5

Given the hexagon in the drawing:

555

What is the area?

Video Solution

Answer

64.95

Exercise #1

Given the hexagon in the drawing:

444

What is the area?

Video Solution

Answer

41.56

Exercise #2

Given the hexagon in the drawing:

141414

What is the area?

Video Solution

Answer

127.3

Exercise #3

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

S=49S=49S=49

Video Solution

Answer

4.34 cm

Exercise #4

Below is an elaborated hexagonal area equal to 6 cm².

How long are the sides of the hexagon?

S=6S=6S=6

Video Solution

Answer

1.154 cm

Exercise #5

A hexagon has an area of 12 cm².

How long are the sides of the hexagon?

S=12S=12S=12

Video Solution

Answer

2.149 cm

Exercise #1

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

Calculate the length of the hexagon's sides.

Video Solution

Answer

2 \sqrt{2} cm

Exercise #2

Given the hexagon whose area is equal to 25 cm².

Calculates the perimeter

S=25S=25S=25

Video Solution

Answer

18.6 cm

Exercise #3

A hexagon has a perimeter of 72 cm.

Calculate the area of the hexagon.

Video Solution

Answer

374.12 cm²

Exercise #4

A hexagon has an area of 50 cm².

What is the perimeter of the hexagon?

S=50S=50S=50

Video Solution

Answer

26.32 cm

Exercise #5

A hexagon has a perimeter of 48 cm.

Calculate the area of the hexagon.

Video Solution

Answer

166.27 cm²