Question

Could someone please explain how to solve for the area?

Answer 1

9514 1404 393

Answer:

  280.6 square units

Step-by-step explanation:

The formula for the area of an n-gon with radius r is useful here:

  A = (n/2)r²sin(360°/n)

For your hexagon (n=6) with radius r=6√3, the area is ...

  A = (6/2)(6√3)²sin(360°/6) = 324sin(60°) = 162√3 ≈ 280.6 . . . square units

Answer 2

FORMULA:

• Area of regular hexagon = 3r²sin60°

ANSWER:

We know the formula, so we just need to plug the respective value.

And 3 × (6√3)² × √3/2

• 3 × 108 × √3/2
• 324√3/2
• 162√3
• 162 × 1.732
• 280.6 sq units.