Mathematics · Geometry

Radiographic Geometric Magnification source-to-image distance Solver

Rearrange the radiographic geometric magnification relationship and solve for source-to-image distance.

Runs locally
Your numbers

Inputs and results stay in this browser. Change one value at a time to explore the relationship.

Your inputCalculatedPassed forward in chains
source-to-image distance120
Reconstructed radiographic magnification factor1.2

Calculation steps

  1. Use a=cb with radiographic magnification factor=1.2 and source-to-object distance=100.
  2. source-to-image distance=120.
  3. Substitution into c=a/b reconstructs 1.2.

Understand Radiographic Geometric Magnification: solve source-to-image distance

One idea, three depths

Choose how deeply to explain Radiographic Geometric Magnification: solve source-to-image distance

Radiographic Geometric Magnification: solve source-to-image distance: Rearrange the radiographic geometric magnification relationship and solve for source-to-image distance.

Age 5Explain it to a 5-year-oldStart with a picture

Imagine using Radiographic Geometric Magnification: solve source-to-image distance to answer this question: rearrange the radiographic geometric magnification relationship and solve for source-to-image distance? Enter radiographic magnification factor and source-to-object distance; the calculator shows source-to-image distance. For example: source-to-image distance=120 and source-to-object distance=100 produce radiographic magnification factor=1.2. The answer tells you source-to-image distance.

Age 15Explain it to a 15-year-oldConnect it to the formula

Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page isolates source-to-image distance and verifies it in the original relationship. The rule is a=cb. Its input values are radiographic magnification factor, source-to-object distance, and the main result is source-to-image distance. For example: source-to-image distance=120 and source-to-object distance=100 produce radiographic magnification factor=1.2.

CollegeExplain it at college levelState the model precisely

This calculator evaluates the stated radiographic geometric magnification: solve source-to-image distance relation over the valid real-number domain stated below. The implemented relation is a=cb, evaluated from radiographic magnification factor, source-to-object distance to produce source-to-image distance. Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page isolates source-to-image distance and verifies it in the original relationship. Object depth, beam divergence, focal-spot blur, detector geometry, angulation, and distortion limit a single factor.

Inputs and valid domain

  • radiographic magnification factor must be a finite real number.
  • source-to-object distance must be a finite real number.

Important boundary: Object depth, beam divergence, focal-spot blur, detector geometry, angulation, and distortion limit a single factor.

The formula

a=cb

How the calculator works through it

It substitutes radiographic magnification factor, source-to-object distance into the formula and exposes every numerical step above. The main output is source-to-image distance, accompanied by Reconstructed radiographic magnification factor.

Read the result correctly

The source-to-image distance is the direct answer to “rearrange the radiographic geometric magnification relationship and solve for source-to-image distance.” Read it with the units shown beside the inputs; a sign, angle, percentage or rate changes what the number means.

A worked check

source-to-image distance=120 and source-to-object distance=100 produce radiographic magnification factor=1.2.

Where this model stops being reliable

Object depth, beam divergence, focal-spot blur, detector geometry, angulation, and distortion limit a single factor.

Learn it by changing one value

Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.

Dictionary terms behind this calculator

Before studying the codeWhat you should know firstUse the calculator immediately, or check the foundations before reading the implementation.

These foundations help you understand why Radiographic Geometric Magnification: solve source-to-image distance works. They never block the calculator, and “optional” means useful context rather than a hidden requirement.

Hard requirements

  • Reading formulas and substituting values

    Radiographic Geometric Magnification: solve source-to-image distance uses a=cb. You need to recognise what each side represents before substituting the stated inputs or rearranging the relationship.

    Review this foundation about 4 min

Strong support

  • Ratios between measured quantities

    Ratios help you check the scale, units and proportional meaning of Radiographic Geometric Magnification: solve source-to-image distance.

    Review this foundation about 4 min

Optional enrichment

  • Angles and geometric relationships

    Angle language provides useful geometric context for extending Radiographic Geometric Magnification: solve source-to-image distance to related shapes and constructions.

    Review this foundation about 4 min
Learn the missing foundationsI already know these — show the code

Mathematics → algorithm → program

Implement this calculation in code

These are direct reference implementations of the calculator's principal relationship and first output. They run locally and include a small known-answer check where the language supports it.

Algorithm

  1. Read radiographic magnification factor, source-to-object distance.
  2. Evaluate the principal relationship: a=cb.
  3. Return source-to-image distance and check the domain conditions described above.
Python
            from math import *

def radiographic_geometric_magnification_solve_a(c, b) -> float:
    return (c * b)

assert abs(radiographic_geometric_magnification_solve_a(1.2, 100) - 120) < 1e-6 * max(1.0, abs(120))
          
Current calculator valuesUpdates when you change an input above.
              
            
C
            #include <assert.h>
#include <math.h>

double radiographic_geometric_magnification_solve_a(double c, double b) {
    return (c * b);
}

int main(void) {
    const double expected = 120;
    const double actual = radiographic_geometric_magnification_solve_a(1.2, 100);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
C++
            #include <cassert>
#include <cmath>
#include <numbers>

double radiographic_geometric_magnification_solve_a(double c, double b) {
    return (c * b);
}

int main() {
    constexpr double expected = 120;
    const double actual = radiographic_geometric_magnification_solve_a(1.2, 100);
    assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
Linux x86-64 assembly

x86-64 NASM · System V ABI · Linux · SSE2 with libm where required

            ; double radiographic_geometric_magnification_solve_a(double c, double b)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global radiographic_geometric_magnification_solve_a
section .text

radiographic_geometric_magnification_solve_a:
    push rbp
    mov rbp, rsp
    sub rsp, 32
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    movsd xmm0, [rbp-8]
    mulsd xmm0, [rbp-16]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          
Current calculator valuesUpdates when you change an input above.
              
            
MATLAB
            function result = radiographic_geometric_magnification_solve_a(c, b)
    result = (c * b);
end
          
Current calculator valuesUpdates when you change an input above.
              
            
Wolfram Language
            ClearAll[mwCalculate];
mwCalculate[c_, b_] := (c * b);
          
Current calculator valuesUpdates when you change an input above.
              
            

Continue in mathematical software

The downloaded file includes your current inputs and first calculated result. It is created locally.

Floating-point answers can differ slightly by language, compiler and processor. Compare within a suitable tolerance rather than assuming every decimal representation will be identical.

Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations

Standards, reading and academic references

Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.

Algebra and Trigonometry 2e

Read the related free OpenStax mathematics chapters
Cite this book
APA 7
Abramson, J. (2021). Algebra and trigonometry 2e. OpenStax. https://openstax.org/books/algebra-and-trigonometry-2e/pages/1-introduction-to-prerequisites
MLA 9
Abramson, Jay. Algebra and Trigonometry 2e. OpenStax, 2021, https://openstax.org/books/algebra-and-trigonometry-2e/pages/1-introduction-to-prerequisites.
Chicago author-date
Abramson, Jay. 2021. Algebra and Trigonometry 2e. Houston, TX: OpenStax. https://openstax.org/books/algebra-and-trigonometry-2e/pages/1-introduction-to-prerequisites.

OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.

Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS

These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.

APA 7

MW SysArc. (2026, July 21). Radiographic Geometric Magnification source-to-image distance Solver. MW SysArc Tools. https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-image-distance-solver

MLA 9

MW SysArc. “Radiographic Geometric Magnification source-to-image distance Solver.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-image-distance-solver. Accessed 31 Aug. 2026.

Chicago 17

MW SysArc. “Radiographic Geometric Magnification source-to-image distance Solver.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-image-distance-solver.

Harvard

MW SysArc (2026) ‘Radiographic Geometric Magnification source-to-image distance Solver’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-image-distance-solver (Accessed: 31 August 2026).

BibTeX and RIS records

BibTeX

@misc{mwsysarc_radiographic_geometric_magnification_solve_a_2026,
  author = {{MW SysArc}},
  title = {Radiographic Geometric Magnification source-to-image distance Solver},
  howpublished = {MW SysArc Tools},
  year = {2026},
  url = {https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-image-distance-solver},
  note = {Published July 21, 2026; accessed August 31, 2026}
}

RIS

TY  - ELEC
AU  - MW SysArc
TI  - Radiographic Geometric Magnification source-to-image distance Solver
T2  - MW SysArc Tools
PY  - 2026
DA  - 2026-07-21
Y2  - 2026-08-31
UR  - https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-image-distance-solver
N1  - Published July 21, 2026
ER  -

Clear answers

Frequently asked questions

What does the Radiographic Geometric Magnification: solve source-to-image distance do?

Rearrange the radiographic geometric magnification relationship and solve for source-to-image distance.

How does the Radiographic Geometric Magnification: solve source-to-image distance work?

The calculator applies a=cb. Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page isolates source-to-image distance and verifies it in the original relationship.

What can I learn from the Radiographic Geometric Magnification: solve source-to-image distance?

It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.

Does MW SysArc receive or store what I enter?

No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.

How should I use the result?

Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.

Last reviewed . Calculations tested .

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