A regular hexagon with a side of 6 cm is inscribed in a circle. Find the radius of the circle.

Sure, here are the steps to find the radius of the circle:

Step 1: Understand the problem A regular hexagon is a six-sided polygon where all sides and angles are equal. When a regular hexagon is inscribed in a circle, the radius of the circle is the distance from the center of the circle to any of the hexagon's vertices.

Step 2: Find the center of the hexagon The center of the hexagon is also the center of the circle.

Step 3: Find the radius of the circle In a regular hexagon, the distance from the center to any vertex (which is also the radius of the circle) is the same as the length of each side.

So, if the side of the hexagon is 6 cm, then the radius of the circle is also 6 cm.