Calculate the Area of a Regular Hexagon with 8 cm Sides: Geometric Formula

A hexagon has sides measuring 8 8 cm long. What is the area of the hexagon?

8

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1

Understand the problem

A hexagon has sides measuring 8 8 cm long. What is the area of the hexagon?

8

2

Step-by-step solution

The formula to find the area of a regular hexagon with side length s s is given by:

332s2 \frac{3 \sqrt{3}}{2} s^2

For a hexagon with side length 8 cm 8 \text{ cm} , substitute s=8 s = 8 into the formula:

Area=332×82 \text{Area} = \frac{3 \sqrt{3}}{2} \times 8^2

Calculate 82 8^2 :

82=64 8^2 = 64

Substitute back:

Area=332×64 \text{Area} = \frac{3 \sqrt{3}}{2} \times 64

This simplifies to:

166.28 cm2 166.28 \text{ cm}^2

3

Final Answer

166.28 cm²

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A hexagon has sides measuring \( 8 \)cm long. What is the area of the hexagon?

8

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