Mathematics · Geometry
Radiographic Geometric Magnification Calculator
Calculate radiographic magnification factor from source-to-image distance and source-to-object distance.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- Use c=a/b with source-to-image distance=120 and source-to-object distance=100.
- radiographic magnification factor=1.2.
Understand Radiographic Geometric Magnification
One idea, three depths
Choose how deeply to explain Radiographic Geometric Magnification
Radiographic Geometric Magnification: Calculate radiographic magnification factor from source-to-image distance and source-to-object distance.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Radiographic Geometric Magnification to answer this question: calculate radiographic magnification factor from source-to-image distance and source-to-object distance? Enter source-to-image distance and source-to-object distance; the calculator shows radiographic magnification factor. For example: source-to-image distance=120 and source-to-object distance=100 produce radiographic magnification factor=1.2. The answer tells you radiographic magnification factor.
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 evaluates the relationship directly. The rule is c=a/b. Its input values are source-to-image distance, source-to-object distance, and the main result is radiographic magnification factor. 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 relation over the valid real-number domain stated below. The implemented relation is c=a/b, evaluated from source-to-image distance, source-to-object distance to produce radiographic magnification factor. Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page evaluates the relationship directly. Object depth, beam divergence, focal-spot blur, detector geometry, angulation, and distortion limit a single factor.
Inputs and valid domain
- source-to-image distance 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
c=a/b
How the calculator works through it
It substitutes source-to-image distance, source-to-object distance into the formula and exposes every numerical step above. The main output is radiographic magnification factor.
Read the result correctly
The radiographic magnification factor is the direct answer to “calculate radiographic magnification factor from source-to-image distance and source-to-object 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 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 uses c=a/b. 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.
Review this foundation about 4 min
Optional enrichment
- Angles and geometric relationships
Angle language provides useful geometric context for extending Radiographic Geometric Magnification to related shapes and constructions.
Review this foundation about 4 min
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
- Read source-to-image distance, source-to-object distance.
- Evaluate the principal relationship: c=a/b.
- Return radiographic magnification factor and check the domain conditions described above.
Python
from math import *
def radiographic_geometric_magnification_calculator(a, b) -> float:
return (a / b)
assert abs(radiographic_geometric_magnification_calculator(120, 100) - 1.2) < 1e-6 * max(1.0, abs(1.2))
C
#include <assert.h>
#include <math.h>
double radiographic_geometric_magnification_calculator(double a, double b) {
return (a / b);
}
int main(void) {
const double expected = 1.2;
const double actual = radiographic_geometric_magnification_calculator(120, 100);
assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
C++
#include <cassert>
#include <cmath>
#include <numbers>
double radiographic_geometric_magnification_calculator(double a, double b) {
return (a / b);
}
int main() {
constexpr double expected = 1.2;
const double actual = radiographic_geometric_magnification_calculator(120, 100);
assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
Linux x86-64 assembly
x86-64 NASM · System V ABI · Linux · SSE2 with libm where required
; double radiographic_geometric_magnification_calculator(double a, double b)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global radiographic_geometric_magnification_calculator
section .text
radiographic_geometric_magnification_calculator:
push rbp
mov rbp, rsp
sub rsp, 32
movsd [rbp-8], xmm0
movsd [rbp-16], xmm1
movsd xmm0, [rbp-8]
divsd xmm0, [rbp-16]
movsd [rbp-24], xmm0
movsd xmm0, [rbp-24]
leave
ret
MATLAB
function result = radiographic_geometric_magnification_calculator(a, b)
result = (a / b);
end
Wolfram Language
ClearAll[mwCalculate];
mwCalculate[a_, b_] := (a / b);
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 chaptersCite 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 Calculator. MW SysArc Tools. https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-calculator
MLA 9
MW SysArc. “Radiographic Geometric Magnification Calculator.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-calculator. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Radiographic Geometric Magnification Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-calculator.
Harvard
MW SysArc (2026) ‘Radiographic Geometric Magnification Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-calculator (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_radiographic_geometric_magnification_calculator_2026,
author = {{MW SysArc}},
title = {Radiographic Geometric Magnification Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-calculator},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Radiographic Geometric Magnification Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-31
UR - https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-calculator
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Radiographic Geometric Magnification do?
Calculate radiographic magnification factor from source-to-image distance and source-to-object distance.
How does the Radiographic Geometric Magnification work?
The calculator applies c=a/b. Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page evaluates the relationship directly.
What can I learn from the Radiographic Geometric Magnification?
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 .