Find the length of a circle inscribed in a regular hexagon if its side is 8.
| September 8, 2021 | education
The radius of a circle inscribed in a regular hexagon is:
r = √3 * a / 2
Substitute the numbers:
r = √3 * 8/2 = 4 * √3
Circumference:
l = 2 * π * R
Substitute the numbers:
l = 2 * 3.14 * 4 * √3 = 43.5 cm
Answer: circumference 43.5 cm.
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