Shapes and geometry

Arched walls

Use chord width, center rise, and spacing to calculate stud heights along an arch.1

An arched-wall layout combines a circular segment with on-center stud spacing. Heights are measured above the chord and mirrored about the center. Add any base-wall height separately when transferring the layout.

Read the arched-wall cycle

Use wall width as the chord, center rise and on-center stud spacing. Stud heights are available when center rise is no more than half the width.

Start a new calculation

Use 2nd if a unit is above its button.

  1. Start fresh

    Press Clear entry, then Clear entry.
  2. Press the keys

    Press Select length units.

Open Circle

Skip if this mode is already open. Skip Close if no mode is open.

  1. Press Close calculation mode, then Open Circle.

1. Enter measurements and calculate

  1. Stud spacing

    Press 16, then inches, then Store spacing.
  2. Wall width

    Press 15, then feet, then Store chord.
  3. Center rise

    Press 5, then feet, then Store rise.
  4. Calculate radius

    Press Equals.
  1. Example · Radius8 feet 1 and 1/2 inches

2. Read the stud heights

Heights start one spacing from center. No intermediate studs means none fit at this spacing.

Results in orderPress = to continue

  1. Example · First stud height4 feet 10 and 11/16 inches
  2. Remaining stud heights
  3. Whole-circle values
  4. Arc geometry
  5. First stud again

Diameter follows the last stud. Each height applies on both sides of center.

Use = to select Stud height 1 or Diameter.

Keep in mind

Heights are above the chord. Add any base-wall height separately. Each height applies on both sides of center. Circle spacing belongs to this setup.

Display assumptions

  1. Fraction precision: 1/16″; Fraction format: Simplified; Area units: Automatic; Angle decimal places: Variable. ↩

Keep the guide beside your calculation.

These examples are built into Figure. Open Help while you calculate, then return to the same guide and reading position.

See Help in Figure →