a reguler hexagon is to be cut from a sheet of diameter D.what are width across corners?

the sides of such a hexagon are the same as the radius of the circle.

To find the width across corners of a regular hexagon, we can use the formula:

Width across corners = Diameter × √3.

To get the answer, follow these steps:

1. Measure the diameter (D) of the sheet.
2. Multiply the diameter (D) by the square root of 3 (√3).
3. The result will give you the width across corners of the regular hexagon.

For example, let's say the diameter is 10 units. Using the formula:

Width across corners = 10 × √3 ≈ 17.3205 units.

Therefore, the width across corners for a regular hexagon cut from a sheet with a diameter of 10 units is approximately 17.3205 units.