Countersink Depth Calculator
ConstructionCalculate the drilling depth needed for a countersink to seat a flat-head screw flush. Enter screw head diameter and countersink angle for exact depth.
Countersink Depth
What is a Countersink Depth?
A Countersink Depth Calculator finds the exact drilling depth needed for a countersink to seat a flat-head screw or bolt flush with the surrounding surface, based on the screw head diameter and the countersink tool's included angle. This is a simple but essential piece of trigonometry for woodworking, metalworking, and fastening projects where a flush finish matters.
Since flat-head screws have a cone-shaped underside, the countersink recess must match that cone precisely — drilled to the correct depth so the widest part of the screw head sits exactly level with the surface.
How to use this Countersink Depth calculator
- Enter the Screw Head Diameter in inches — measure this with calipers for best accuracy.
- Select the Countersink Angle matching your screw type: 82° (standard US), 90° (standard metric), or 100°.
- Review the Countersink Depth result.
- Set your drill press or countersink bit's depth stop to this depth.
- Test on scrap material before drilling your final workpiece to confirm a flush fit.
Formula & Methodology
The calculator uses right-triangle trigonometry based on the cone geometry of the countersink: Countersink Depth = (Screw Head Diameter ÷ 2) ÷ tan(Countersink Angle ÷ 2) Worked example: For a 0.5-inch screw head diameter with an 82-degree countersink angle: Half-Angle = 82° ÷ 2 = 41° Countersink Depth = (0.5 ÷ 2) ÷ tan(41°) = 0.25 ÷ 0.8693 ≈ 0.2876 in This means a screw with a 0.5-inch head diameter, using a standard 82-degree countersink, needs a countersink drilled to about 0.288 inches deep for the head to sit perfectly flush with the surface.
Frequently Asked Questions