Could someone please explain how to solve for the area?
2 answers:
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
FORMULA:
•<u> </u><u>Area of regular hexagon</u> = 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.
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