Calculate the Area of a Regular Hexagon with 10cm Sides

A hexagon has sides measuring 10 10 cm long. What is the area of the hexagon?

10

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1

Understand the problem

A hexagon has sides measuring 10 10 cm long. What is the area of the hexagon?

10

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 10 cm 10 \text{ cm} , substitute s=10 s = 10 into the formula:

Area=332×102 \text{Area} = \frac{3 \sqrt{3}}{2} \times 10^2

Calculate 102 10^2 :

102=100 10^2 = 100

Substitute back:

Area=332×100 \text{Area} = \frac{3 \sqrt{3}}{2} \times 100

This simplifies to:

259.81 cm2 259.81 \text{ cm}^2

3

Final Answer

259.81 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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