Eyewear Frame Pantoscopic & Face Form Angle Calculator
Measure frame tilt and face curvature for optimal eyewear fitting.
About the Angles
- Pantoscopic Angle: Vertical tilt of the frame; top edge away from face, bottom edge closer. Typical range: 5°–15°
- Face Form Angle: Horizontal curvature of the frame to fit the head; side edges curve toward the face. Typical range: 5°–15°
Input Fields Description
| Field | Description | Typical Range |
|---|---|---|
| Vertical Height (h) | Vertical distance from top edge to bottom edge at the hinge, used to calculate Pantoscopic Angle | 5–15 mm |
| Horizontal Distance (l) | Horizontal distance from hinge to lower end along side, used for Pantoscopic Angle | 120–150 mm |
| Horizontal Offset (s) | Side-to-head horizontal distance for Face Form Angle | 5–20 mm |
| Frame Width (fw) | Total width of the spectacle frame | 120–150 mm |
| Unit | Choose mm or inch; conversion is handled automatically | mm / inch |
Calculator
Enter your measurements below:
Calculation Results
Pantoscopic Angle
--
Vertical tilt angle
Face Form Angle
--
Horizontal curvature angle
Calculation Formulas
Pantoscopic Angle
θp = arctan(h / l)
- θp = Pantoscopic Angle
- h = Vertical Height Difference
- l = Horizontal Distance
Face Form Angle
θf = arcsin(2s / fw)
- θf = Face Form Angle
- s = Horizontal Offset
- fw = Frame Width