Skip to content

Arch Calculator

Construction
0.0(0)

Calculates the focus points of an ellipse, essential for arch construction. Provides the necessary parameters for constructing an elliptical arch.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Arch Width (Horizontal Axis Length) and Arch Height (Vertical Axis Length) in the units shown.

Step 2

Read Semi-Minor Axis (b), Semi-Major Axis (a), Focal Distance (c), Focus Point 2 (from left side), and Focus Point 1 (from left side) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Small Arch

Arch Width (Horizontal Axis Length): 2 meters; Arch Height (Vertical Axis Length): 1 meters

Semi-Minor Axis (b): 1 meters; Semi-Major Axis (a): 1 meters; Focal Distance (c): 0 meters; Focus Point 2 (from left side): 1 meters; Focus Point 1 (from left side): 1 meters

Medium Arch

Arch Width (Horizontal Axis Length): 4 meters; Arch Height (Vertical Axis Length): 1.5 meters

Semi-Minor Axis (b): 1.5 meters; Semi-Major Axis (a): 2 meters; Focal Distance (c): 1.322875656 meters; Focus Point 2 (from left side): 3.322875656 meters; Focus Point 1 (from left side): 0.6771243445 meters

Wide and Low Arch

Arch Width (Horizontal Axis Length): 6 meters; Arch Height (Vertical Axis Length): 1 meters

Semi-Minor Axis (b): 1 meters; Semi-Major Axis (a): 3 meters; Focal Distance (c): 2.828427125 meters; Focus Point 2 (from left side): 5.828427125 meters; Focus Point 1 (from left side): 0.1715728753 meters

People Also Calculate

Related Calculators

Continue with another tool on a related topic.