Nirmion
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PHYSICS / OPTICS

Spherical Mirror Equation Calculator

Solve focal length and magnification from object and image distances. Inspect the governing equation, substituted SI values, output, and model boundaries in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Solve focal length and magnification from object and image distances. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

f = d_od_i/(d_o+d_i)

What you provide

What you provide

  • Object distance expressed in m, using the same scenario as the other inputs
  • Image distance expressed in m, using the same scenario as the other inputs

What you receive

What you receive

  • Focal length in m from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Paraxial rays, a spherical mirror, and one consistent sign convention are assumed.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors