Find the area of a regular hexagon if the length of the circumscribed circle around it is 4 pi.

univerkov | May 22, 2021 | education

Knowing by condition the length of the circumscribed circle, we find the radius of this circle:
C = 2 * π * R → R = C / 2π = 4π / 2π = 2.
We find the area of a regular hexagon by the formula:
S = 3√3 * R² / 2 = 6√3 = 10.3923048 ≈ 10.4.
Answer: 10.4 is the area of a hexagon.

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