Final answer:
To find the ratio of the area of a regular hexagon to the area of the circle, divide the area of the hexagon by the area of the circle.
Step-by-step explanation:
The ratio of the area of a regular hexagon to the area of the circle in which it is inscribed can be found by dividing the area of the hexagon by the area of the circle.
The formula for the area of a regular hexagon is A = (3√3/2) * s^2, where s is the length of the side of the hexagon.
The formula for the area of a circle is A = π * r^2, where r is the radius of the circle.
By substituting the formulas and simplifying, we can calculate the ratio.