The 45 degree offset formula is

The 45 degree offset formula is

• A. 1.414
• B. 1.013
• C. 1.406
• D. 3.140

Answer: (A)

At a 45-degree offset, the horizontal and vertical distances are equal, so the diagonal distance (the offset along the 45° line) is the hypotenuse of a right triangle with both legs equal. By the Pythagorean theorem, diagonal = sqrt(leg^2 + leg^2) = leg * sqrt(2). If the leg length is 1 unit, the diagonal is sqrt(2) ≈ 1.414. That’s why the 45-degree offset uses 1.414 as the multiplier. The other numbers don’t come from this geometric relation (1.013 is not √2, 1.406 is close but not exact, and 3.140 is π).

At a 45-degree offset, the horizontal and vertical distances are equal, so the diagonal distance (the offset along the 45° line) is the hypotenuse of a right triangle with both legs equal. By the Pythagorean theorem, diagonal = sqrt(leg^2 + leg^2) = leg * sqrt(2). If the leg length is 1 unit, the diagonal is sqrt(2) ≈ 1.414. That’s why the 45-degree offset uses 1.414 as the multiplier. The other numbers don’t come from this geometric relation (1.013 is not √2, 1.406 is close but not exact, and 3.140 is π).