Countersink Depth Calculator
Calculate the exact countersink depth for any screw head diameter and countersink angle, for a flush, recessed, or slightly proud fit — with a labeled diagram and step-by-step solution.
Countersink Cross-Section (to scale)
Quick-Reference: Common Screw Sizes at 82° / 90°
| Screw size | Shank diameter | Est. head diameter | Flush depth |
|---|---|---|---|
| #4 (82°) | 0.112 in | 0.207 in | 0.119 in |
| #6 (82°) | 0.138 in | 0.255 in | 0.147 in |
| #8 (82°) | 0.164 in | 0.303 in | 0.175 in |
| #10 (82°) | 0.19 in | 0.352 in | 0.202 in |
| #12 (82°) | 0.216 in | 0.4 in | 0.23 in |
| 1/4" (82°) | 0.25 in | 0.463 in | 0.266 in |
| 5/16" (82°) | 0.313 in | 0.578 in | 0.333 in |
| 3/8" (82°) | 0.375 in | 0.694 in | 0.399 in |
| M3 (90°) | 3 mm | 5.55 mm | 2.775 mm |
| M4 (90°) | 4 mm | 7.4 mm | 3.7 mm |
| M5 (90°) | 5 mm | 9.25 mm | 4.625 mm |
| M6 (90°) | 6 mm | 11.1 mm | 5.55 mm |
| M8 (90°) | 8 mm | 14.8 mm | 7.4 mm |
| M10 (90°) | 10 mm | 18.5 mm | 9.25 mm |
Head diameters here are estimated at roughly 1.85× the shank diameter, a widely used rule of thumb for flat and oval head screws. Always check the manufacturer's spec sheet before cutting critical parts.
Step-by-Step Solution
Here's exactly how this answer was calculated, one step at a time.
- 1
Find the screw head radius
radius = head diameter ÷ 2 = 0.385 ÷ 2 = 0.193 in
The countersink cone needs to widen to exactly the screw head's radius by the time it reaches the depth where the flat top of the head will sit.
- 2
Find half the countersink angle
half angle = 82° ÷ 2 = 41°
A countersink bit's angle is measured as the full, included angle of the cone. Basic right-triangle trigonometry uses half of that angle, measured from the center axis of the hole.
- 3
Find the depth for a flush fit
flush depth = radius ÷ tan(half angle) = 0.193 ÷ tan(41°) = 0.221 in
This is how deep the countersink must be cut so the top of the screw head lands exactly level with the surrounding surface — no gap, and nothing poking up.
- 4
Adjust for a recessed or proud fit
total depth = flush depth + offset = 0.221 + (0) = 0.221 in
No offset was requested, so the total plunge depth is the same as the flush depth.
✓ Cut the countersink 0.221 in deep at 82°
Free Online Countersink Depth Calculator
This countersink depth calculator tells you exactly how deep to plunge a countersink bit so a flat head or oval head screw sits flush, recessed, or slightly proud of the surface. Enter the screw's head diameter (or estimate it from the shank size) and the countersink angle, and it instantly returns the depth to cut, the diameter the hole will measure at the surface, and a labeled cross-section diagram — plus a full step-by-step solution showing exactly how the answer was worked out.
Cutting a countersink too shallow leaves the screw head sticking up above the surface. Cutting it too deep buries the head below the surface and can weaken the surrounding material. Getting the depth right the first time, without trial and error on good material, is exactly what this tool is built for.
What Is a Countersink?
A countersink is a cone-shaped recess cut into a material so that a flat head or oval head screw — which has a conical underside instead of a flat one — can sit level with, below, or just above the surrounding surface instead of standing proud on top of it. The cone-shaped recess is cut with a matching countersink bit, and its angle must match the angle of the screw head for the two conical surfaces to seat together properly.
This differs from a counterbore, which is a straight-sided, flat-bottomed recess used to bury the head of a socket-head or pan-head screw completely below the surface. A countersink is specifically for screws with an angled, conical head shape.
Countersink Depth Formula
The countersink depth calculation comes from a simple right triangle formed by the center axis of the hole and the slope of the cone:
- Head radius = Head diameter ÷ 2
- Half angle = Countersink angle ÷ 2
- Flush depth = Head radius ÷ tan(Half angle)
- Total depth (with offset) = Flush depth + Offset (positive offset = recessed, negative = proud)
- Hole diameter at the surface = 2 × Total depth × tan(Half angle)
How to Use This Countersink Calculator — Step by Step
Getting the right depth takes only a few seconds:
- Enter the screw head diameter, either directly from a spec sheet or caliper measurement, or by choosing the estimate-from-shank option if you only know the screw's gauge or thread size.
- Choose the countersink angle that matches your screw and bit — 82° is the most common standard in the US for wood and machine screws, while 90° is the usual metric/ISO standard.
- Decide how the screw should sit: flush with the surface, recessed a specific amount below it, or left slightly proud above it.
- Read the countersink depth to cut directly from the results, along with the diameter the hole will measure once you've reached that depth.
- Use the diagram to visually confirm the cone shape and where the screw head will land, and check the step-by-step solution to see every formula used.
Worked Example: A Standard #10 Flat Head Screw
A #10 flat head screw has a shank diameter of about 0.190 inches, so its estimated head diameter is roughly 0.190 × 1.85 ≈ 0.352 inches. Using the standard US 82° countersink angle, the flush depth works out to (0.352 ÷ 2) ÷ tan(41°) = 0.176 ÷ 0.869 ≈ 0.203 inches. That's how deep the countersink needs to be cut for the screw head to land exactly level with the surrounding wood or metal surface.
Worked Example: A Metric M5 Screw, Recessed
An M5 flat head screw has a 5 mm shank diameter, giving an estimated head diameter of about 5 × 1.85 ≈ 9.25 mm. Using the metric 90° countersink angle, the flush depth is (9.25 ÷ 2) ÷ tan(45°) = 4.625 ÷ 1 = 4.625 mm. If the screw should sit 1 mm below the surface instead of flush — for example, so it can be filled and painted over — simply add that 1 mm offset: total depth = 4.625 + 1 = 5.625 mm.
Common Countersink Angles
Countersink angle depends on the screw standard you're matching. Here are the angles this calculator supports:
- 82° — standard US flat head wood & machine screws
- 90° — metric / ISO flat head screws
- 100° — alternate ASME flat head machine screws
- 120° — wide, shallow countersinks
- 60° — narrow, precision countersinks
Flush, Recessed, or Proud: Which Should You Choose?
Flush is the standard choice for most woodworking and general fastening, where the screw head sits exactly level with the surface — no bump, no gap. Recessed is common when the screw hole will be filled with putty, plugged with a wood button, or painted over, since leaving the head slightly below the surface gives room for the filler material. Proud (slightly above the surface) is far less common but occasionally used intentionally, for example when a screw head needs to catch on something or when a part will be sanded down afterward to reach a perfect flush finish.
Tips for Cutting an Accurate Countersink
A correct depth calculation is only half the job — a few shop habits make sure it comes out clean:
- Always test the countersink bit and depth setting on a scrap piece of the same material before committing to your finished workpiece.
- Use a countersink bit with a depth stop collar whenever possible, so repeated holes come out identical without having to eyeball each one.
- Drill the pilot or clearance hole first, then countersink — trying to do both at once with a combination bit can wander off-center in harder materials.
- Go slightly less deep than calculated on a first pass if you're unsure, then test-fit the screw and deepen the cut gradually rather than overshooting.
- Remember that softer materials like pine or drywall compress slightly under the screw head, so a flush calculation there can end up very slightly recessed in practice — a small trade most woodworkers accept.
Where Countersinks Are Used
Countersunk screws and holes show up constantly across trades:
- Furniture and cabinetry, where flat head screws need to sit flush so they can be plugged or covered.
- Deck building, where countersunk deck screws sit below the walking surface to avoid snagging.
- Sheet metal and machine work, where flat head machine screws need a flush finish on moving assemblies.
- Electronics and enclosure design, where countersunk mounting screws keep panels sitting flat against each other.
- Plumbing and hardware fittings, where flush fasteners reduce snag points and improve appearance.
Common Mistakes to Avoid
Most countersink problems trace back to one of these easy-to-make mistakes:
- Using the wrong countersink angle for the screw — an 82° bit and a 90° screw head will never seat flush against each other, no matter how deep you cut.
- Confusing the screw's shank (thread) diameter with its head diameter — the head is always noticeably larger, and using the shank number directly gives a countersink that's far too shallow.
- Cutting straight to the calculated depth on a workpiece that matters without a test cut first, especially in materials that compress or chip differently than expected.
- Forgetting that softer or thinner materials can crack or blow out if the countersink is cut too deep relative to the material's thickness.
- Mixing up recessed and proud offsets — a positive offset always means the screw sits further below the surface, not above it.
Frequently Asked Questions
What is the formula for countersink depth?
Countersink depth for a flush fit = (screw head diameter ÷ 2) ÷ tan(countersink angle ÷ 2). To recess the screw further below the surface, simply add the extra depth to that result; to leave it slightly proud, subtract it.
What countersink angle should I use?
Match the angle to your screw standard. 82° is the most common angle for US flat head wood and machine screws, while 90° is the standard for most metric and ISO flat head screws. Always match the bit angle to the screw head angle, not just pick one arbitrarily.
How do I find a screw's head diameter?
The most accurate way is to measure it directly with calipers or check the screw's spec sheet. If you only know the shank (thread) diameter, a common rule of thumb estimates the head diameter at roughly 1.85 times the shank diameter for flat and oval head screws.
What's the difference between a countersink and a counterbore?
A countersink is a cone-shaped recess that matches the angled underside of a flat or oval head screw. A counterbore is a flat-bottomed, straight-sided recess used to fully bury the head of a socket-head or pan-head screw, which has a flat (not angled) underside.
How deep should a countersink be for a flush screw?
It depends entirely on the screw head diameter and the countersink angle — there's no single universal number. Use the formula (head diameter ÷ 2) ÷ tan(angle ÷ 2), or enter your screw's details into this calculator to get the exact figure.
Why does my screw head still stick up after countersinking?
The most common causes are a countersink cut too shallow, a mismatched angle between the bit and the screw head, or a head diameter estimate that came out too small. Double-check the head diameter with calipers and confirm the bit angle matches the screw standard.
Can I use this calculator for metal, plastic, or plywood?
Yes. The geometry is pure trigonometry and doesn't depend on the material, so the same formula applies whether you're countersinking wood, sheet metal, plastic, or composite panels. Just keep in mind that harder materials may need slower drilling speeds and a sharp bit to avoid chatter.
What does it mean to recess a screw below the surface?
Recessing means cutting the countersink slightly deeper than the flush depth, so the screw head sits below the surrounding surface. This is common when the hole will later be filled with wood filler, a plug, or paint to hide the screw completely.