Round to Square Pan Converter Formula

Understand the math behind the round to square pan converter. Each variable explained with a worked example.

Use the Round to Square Pan Converter

Formulas Used

Round Pan Area

round_area_out = round_area

Equivalent Square Pan Side

equiv_square_side = sqrt(round_area)

Round Pan Volume

round_volume = round_area * pan_depth

Variables

VariableDescriptionDefault
round_diameterRound Pan Diameter(in)9
pan_depthPan Depth(in)2
round_areaRound pan area= 3.14159 * pow(round_diameter / 2, 2)calculated

How It Works

How to Convert Round to Square Pan Sizes

Formula

Round Pan Area = pi x (diameter/2)^2

Equivalent Square Side = sqrt(Round Pan Area)

A 9-inch round pan has an area of about 63.6 sq in, which is nearly the same as an 8-inch square pan (64 sq in).

Common Equivalents

  • 8" round = 7.1" square
  • 9" round = 8.0" square
  • 10" round = 8.9" square

    • Worked Example

    Find the square pan equivalent of a 9-inch round pan.

    round_diameter = 9pan_depth = 2
    1. 01Round pan area: pi x (9/2)^2 = pi x 20.25 = 63.6 sq in.
    2. 02Equivalent square side: sqrt(63.6) = 8.0 inches.
    3. 03A 9-inch round pan is equivalent to an 8-inch square pan.

    Ready to run the numbers?

    Open Round to Square Pan Converter