Springform Pan Size Calculator Formula

Understand the math behind the springform pan size calculator. Each variable explained with a worked example.

Use the Springform Pan Size Calculator

Formulas Used

Original Pan Area

original_area = area_orig

New Pan Area

new_area = area_new

Recipe Scale Factor

scale = area_new / area_orig

Original Pan Volume

vol_orig = area_orig * depth

New Pan Volume

vol_new = area_new * depth

Variables

VariableDescriptionDefault
diameter_originalOriginal Pan Diameter(in)9
diameter_newNew Pan Diameter(in)7
depthPan Depth(in)3
area_origOriginal area= 3.14159 * pow(diameter_original / 2, 2)calculated
area_newNew area= 3.14159 * pow(diameter_new / 2, 2)calculated

How It Works

Springform Pan Size Conversion

Formula

Scale Factor = (New Diameter / Original Diameter)^2

This simplifies to the ratio of areas since both are circles.

Area = pi x (diameter/2)^2

Common Springform Sizes

  • 6" = 28.3 sq in
  • 7" = 38.5 sq in
  • 8" = 50.3 sq in
  • 9" = 63.6 sq in
  • 10" = 78.5 sq in

    • Worked Example

    Adapt a 9-inch springform cheesecake recipe for a 7-inch pan.

    diameter_original = 9diameter_new = 7depth = 3
    1. 01Original area: pi x (9/2)^2 = 63.6 sq in.
    2. 02New area: pi x (7/2)^2 = 38.5 sq in.
    3. 03Scale factor: 38.5 / 63.6 = 0.60.
    4. 04Use 60% of each ingredient.

    Ready to run the numbers?

    Open Springform Pan Size Calculator