Mathematics · Geometry
Radiographic Geometric Magnification source-to-object distance Solver
Rearrange the radiographic geometric magnification relationship and solve for source-to-object distance.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- Use b=a/c with radiographic magnification factor=1.2 and source-to-image distance=120.
- source-to-object distance=100.
- Substitution into c=a/b reconstructs 1.2.
Understand Radiographic Geometric Magnification: solve source-to-object distance
One idea, three depths
Choose how deeply to explain Radiographic Geometric Magnification: solve source-to-object distance
Radiographic Geometric Magnification: solve source-to-object distance: Rearrange the radiographic geometric magnification relationship and solve for source-to-object distance.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Radiographic Geometric Magnification: solve source-to-object distance to answer this question: rearrange the radiographic geometric magnification relationship and solve for source-to-object distance? Enter radiographic magnification factor and source-to-image distance; the calculator shows source-to-object 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-object 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-object distance and verifies it in the original relationship. The rule is b=a/c. Its input values are radiographic magnification factor, source-to-image distance, and the main result is source-to-object 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-object distance relation over the valid real-number domain stated below. The implemented relation is b=a/c, evaluated from radiographic magnification factor, source-to-image distance to produce source-to-object distance. Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page isolates source-to-object 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-image 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
b=a/c
How the calculator works through it
It substitutes radiographic magnification factor, source-to-image distance into the formula and exposes every numerical step above. The main output is source-to-object distance, accompanied by Reconstructed radiographic magnification factor.
Read the result correctly
The source-to-object distance is the direct answer to “rearrange the radiographic geometric magnification relationship and solve for 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: solve source-to-object 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-object distance uses b=a/c. 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-object 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-object distance 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 radiographic magnification factor, source-to-image distance.
- Evaluate the principal relationship: b=a/c.
- Return source-to-object distance and check the domain conditions described above.
Python
from math import *
def radiographic_geometric_magnification_solve_b(c, a) -> float:
return (a / c)
assert abs(radiographic_geometric_magnification_solve_b(1.2, 120) - 100) < 1e-6 * max(1.0, abs(100))
C
#include <assert.h>
#include <math.h>
double radiographic_geometric_magnification_solve_b(double c, double a) {
return (a / c);
}
int main(void) {
const double expected = 100;
const double actual = radiographic_geometric_magnification_solve_b(1.2, 120);
assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
C++
#include <cassert>
#include <cmath>
#include <numbers>
double radiographic_geometric_magnification_solve_b(double c, double a) {
return (a / c);
}
int main() {
constexpr double expected = 100;
const double actual = radiographic_geometric_magnification_solve_b(1.2, 120);
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_solve_b(double c, double a)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global radiographic_geometric_magnification_solve_b
section .text
radiographic_geometric_magnification_solve_b:
push rbp
mov rbp, rsp
sub rsp, 32
movsd [rbp-8], xmm0
movsd [rbp-16], xmm1
movsd xmm0, [rbp-16]
divsd xmm0, [rbp-8]
movsd [rbp-24], xmm0
movsd xmm0, [rbp-24]
leave
ret
MATLAB
function result = radiographic_geometric_magnification_solve_b(c, a)
result = (a / c);
end
Wolfram Language
ClearAll[mwCalculate];
mwCalculate[c_, a_] := (a / c);
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 source-to-object distance Solver. MW SysArc Tools. https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-object-distance-solver
MLA 9
MW SysArc. “Radiographic Geometric Magnification source-to-object distance Solver.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-object-distance-solver. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Radiographic Geometric Magnification source-to-object distance Solver.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-object-distance-solver.
Harvard
MW SysArc (2026) ‘Radiographic Geometric Magnification source-to-object distance Solver’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-object-distance-solver (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_radiographic_geometric_magnification_solve_b_2026,
author = {{MW SysArc}},
title = {Radiographic Geometric Magnification source-to-object distance Solver},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://math.mwsysarc.com/geometry/radiographic-geometric-magnification-source-to-object-distance-solver},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Radiographic Geometric Magnification source-to-object 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-object-distance-solver
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Radiographic Geometric Magnification: solve source-to-object distance do?
Rearrange the radiographic geometric magnification relationship and solve for source-to-object distance.
How does the Radiographic Geometric Magnification: solve source-to-object distance work?
The calculator applies b=a/c. Ideal radiographic magnification is source-to-image distance divided by source-to-object distance. This page isolates source-to-object distance and verifies it in the original relationship.
What can I learn from the Radiographic Geometric Magnification: solve source-to-object 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 .