In the following problems, compute the distance in millimeters between the following (x, y) screen coordinates measured in pixels. Assume that a pixel is a dot with diameter of 0.28 mm.
Note: In the problems below, pixels are considered circles packed in a square matrix. Therefore, the diagonal distance does not represent the number of pixels along its length, but rather the number of pixels that distance covers along the horizontal or vertical. Strictly speaking, is
best to convert pixels into millimeters before the diagonal is computed. However, it is simpler to do the conversion to millimeters after the diagonal is computed, as done below. The final result is the same either way.
(0, 0) and (1000, 1000)
Distance (d) can be found using the Pythagorean equation:
d = 1414.214 pixels
d = 1414.214 (pixels) * 0.28 (mm / pixel) — 395.979 mm
Distance between coordinates is 395.98 mm (rounded to 2 places).
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