Question

What is the radius of its inscribed circle? Use this to find the area of the regular hexagon. (Hint: if you connect the opposite corners of hexagon together with lines, what type of triangles do you get?)

Answer 1

The radius of the inscribed circle in a regular hexagon can be found by dividing the side length by 2. The area of a regular hexagon can be calculated using a formula involving the side length. By finding the radius of the inscribed circle, you can then calculate the area of the hexagon.

Step-by-step explanation:

The radius of the inscribed circle in a regular hexagon can be found by dividing the side length of the hexagon by 2. Since all sides of a regular hexagon are equal, the radius of the inscribed circle is half the length of any one side.

The area of a regular hexagon can be found using the formula A = (3√3 × s²)/2, where s is the length of a side.

Therefore, if you know the side length of the hexagon, you can find the radius of the inscribed circle and then use that to calculate the area of the hexagon.

56790-