By lens working distance, I am referring to the distance from the end of the lens (or the end of the lens hood if in place) to the subject. This is the amount of space you have to work in.
While lens working distance matters little to most of my shooting, there are situations where knowing the distance in front of the lens matters. Macro photography at MFD (Minimum Focus Distance) is typically the situation where working distance matters the most and other than physical obstruction (such as a lens hood bumping into part of the subject), frightening away the subject is usually the biggest issue.
The distance formula is a formula that is used to find the distance between two points. These points can be in any dimension. For example, you might want to find the distance between two points on a line (1d), two points in a plane (2d), or two points in space (3d). Show that the points A = (− 3, 0), B = (1. Distance between two points in a plane is calculated with the 2 coordinates (x 1, y 1 ) and (x 2,y 2 ). Just enter the coordinate values in this distance between two points calculator to find its distance. In the below distance on a coordinate plane calculator, enter the values for two set of x and y coordinates ie., X0, Y0 and X1, Y1 and click calculate to know the distance between 2 points in 2-dimensional space. Distance between two points. About Distance Between Two Points Calculator. The Distance Between Two Points Calculator is used to help you find the distance between two points. Distance Between Two Points Formula. The distance between any two points (x 1, y 1) and (x 2, y 2) is given.
Lens manufacturers always include the MFD (Minimum Focus Distance) in their list of specs, but the MFD spec is based on the distance from the subject to the imaging sensor, not from the end of the lens or lens hood to the subject. This is no problem, as data from the site's Lens Specifications and Measurements tool along with a simple calculation will provide the needed from-the-end-of-the-lens working distance.
Distance 1 00
Simply take the 'measured' LL (Lens Length – with or without hood) and add 1.4' (36.4mm) to account for the Canon EF and EF-S lens mount imaging sensor-to-electrical-contact distance (ISCD). The Nikon F lens mount ISCD value is 1.6' (40.5mm). Subtracting the total imaging sensor to end-of-lens distance from the MFD (you can use this site's measurement or the manufacturer spec) provides the WD (Working Distance) for the lens at MFD. I'll make this a formula:
WD = MFD - LL - ISCD
I just completed the Sigma 105mm f/2.8 EX DG OS HSM Macro Lens review, so I'll use that Canon-mount-equipped lens for an example. From this lens' specs, we see that the MFD is 12.3' (312mm), the total measured lens length is 5.3' (134mm) and 7.2' (182mm) with the hood installed.
Using the above formula to determine the without-hood working distance:
WD = 12.3' - 5.3' - 1.4' or WD = 312mm - 134mm - 36.4mm
Using this calculation shows that the Sigma 105 OS lens' working distance is about 5.6' (141.6mm). Install the hood and the minimal working distance goes down to 3.7' (93.6mm).
If you would like to rely on the manufacturer-provided lens length, the formula must be adjusted slightly. Most lens manufacturers (including Canon, Nikon, Sigma, Tamron and Zeiss) provide lens length specs that exclude the distance from the rear of the lens mount to the protruding electrical contacts. This usually explains the discrepancy that you see between the manufacturer specs and the actual measurements shown in the specs and measurements tool.
To use the manufacturer-provided lens length in the above formula, the electrical contact extension length from the lens mount must be added to the imaging sensor-to-contact distance (ISCD) in the formula. This distance from the sensor to the rear of the lens mount is called the flange focal distance (FFD) and is what now gets plugged into the formula. The distance from the back of the Canon EF and EF-S lens mount to the contacts is .3' (7.6mm), giving it an FFD of 1.7' (44mm). The distance from the back of the Nikon F lens mount to the contacts is .24' (6mm), giving it an FFD of 1.8' (46.5mm).
The new formula using flange length is:
WD = MFD - mfgLL - FFD
Shooting with a format other than Canon or Nikon? More flange focal distances can be found on Wikipedia.
To determine the working distance at a focus distance other than the MFD, simply plug your focus distance into the MFD value in the formula.
While easy to calculate, remembering the calculation is not always easy. Keep this page in your physical or mental bookmarks for the next time you need to calculate lens working distance.
Purplemath
The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:
Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are. The points look like this:
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You can draw in the lines that form a right-angled triangle, using these points as two of the corners:
It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values:
Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):
..so:
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This format always holds true. Sqlpro studio 1 0 405 – powerful database manager resume. Given two points, you can always plot them, draw the right triangle, and then find the length of the hypotenuse. The length of the hypotenuse is the distance between the two points. Since this format always works, it can be turned into a formula:
Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula:
Don't let the subscripts scare you. They only indicate that there is a 'first' point and a 'second' point; that is, that you have two points. Whichever one you call 'first' or 'second' is up to you. The distance will be the same, regardless.
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Find the distance between the points (–2, –3) and (–4, 4).
Distance 1 0 2
I just plug the coordinates into the Distance Formula:
Then the distance is sqrt(53), or about 7.28, rounded to two decimal places.
URL: https://www.purplemath.com/modules/distform.htm
