The radius of a circle inscribed in a regular hexagon is 3√3 cm. Find the side of a regular hexagon.

Given:
regular hexagon,
the radius of a circle inscribed in a regular hexagon is 3√3 centimeters.
Find: Find the side of a regular hexagon -?
Decision:
1) Consider a regular hexagon. If it is correct, then all sides of it are equal. Let them be equal to the variable a;
2) The radius of a circle inscribed in a regular hexagon is found by the formula:
r = a * √3 / 2, where a is the side of the hexagon. Therefore, we substitute instead of r = 3√3 centimeters and find the side of the hexagon. We get:
3√3 = a * √3 / 3;
a = 2√3 * 3√3 / 3;
a = 6 * 3/3;
a = 6 * 1/1;
a = 6/1;
a = 6.
Answer: 6 centimeters.