Spade Drill Angle Calculator

Enter drill width and point length with units. Review included angles and bevel geometry quickly. Export results for shop notes and drilling comparisons today.

Calculator

Formula Used

The drill point is treated as two equal right triangles.

Included angle: θ = 2 × tan-1((W ÷ 2) ÷ L)

Required point length: L = (W ÷ 2) ÷ tan(θ ÷ 2)

Required width: W = 2 × L × tan(θ ÷ 2)

Bevel complement: B = 90° − (θ ÷ 2)

Here, W is drill width. L is effective point length. θ is the included point angle.

How to Use This Calculator

  1. Measure the drill width across the cutting corners.
  2. Measure point length from the tip to the corner line.
  3. Select the same unit used for both measurements.
  4. Add a correction only when your reference line needs it.
  5. Enter a target angle or choose a preset.
  6. Press the calculate button.
  7. Read the included angle, half angle, and target difference.
  8. Download the CSV or PDF for shop records.

Example Data Table

Drill Width Point Length Target Angle Calculated Angle Use Case
25 mm 7.5 mm 118° 118.07° General setup check
18 mm 9 mm 90° 90.00° Longer guiding point
32 mm 6.6 mm 135° 135.13° Shorter point comparison

What This Calculator Does

A spade drill angle depends on simple triangle geometry. The drill width forms the base. The point length forms the height. Together they create two right triangles from the center line. This calculator uses those values to find the included point angle. It also shows the half angle, bevel complement, target difference, and target point length.

Why the Angle Matters

A small angle gives a long point. It can start a hole with more guidance. It may also need extra feed space. A large angle gives a shorter point. It can reduce point height and may suit shallow starts. The best value depends on material, drill shape, machine control, and the finish you need.

Inputs You Can Control

Enter the drill width across the cutting corners. Then enter the point length from the tip to the corner line. Choose inches or millimeters. Add a target angle if you want a comparison. The tolerance field helps mark whether the current design is close enough. The material preset only fills a practical target. You can still edit the angle.

Reading the Results

The included angle is the main answer. It is the full angle at the point. The half angle is measured from the drill center line to one cutting side. The bevel complement helps when a shop gauge reads from a flat reference instead of the center line. The point length needed for the target tells you how much longer or shorter the point should be.

Practical Measuring Tips

Measure width at the same corner line used for point length. Use calipers for the width. Use a depth gauge for the point height. Keep both measurements in the same unit. Small errors can change the angle, especially on narrow drills. Record the results before grinding. Exporting a CSV or PDF makes repeat checks easier.

Common Use Cases

Use the calculator before making a custom flat drill. Use it when checking a reground point. It also helps compare two bits that look similar. Students can use it to connect trigonometry with workshop geometry. Makers can save each result and build a small reference chart for future setups. This supports consistent notes during careful drill angle planning each time.

FAQs

What is a spade drill included angle?

It is the full angle formed at the drill point. The calculator finds it from the drill width and point length using right triangle trigonometry.

Which measurements are required?

You need the width across the cutting corners and the point length from the tip to the line joining those corners.

Can I use inches instead of millimeters?

Yes. The angle formula uses a ratio, so any matching length unit works. Keep width and point length in the same unit.

What does target point length mean?

It is the point length needed to reach your chosen target angle with the current drill width. It helps compare grinding changes.

What is bevel complement angle?

It is 90 degrees minus the half angle. Some shop checks use this reference when measuring from a flat face or gauge surface.

Why is tolerance included?

Tolerance shows whether the calculated angle is close enough to your target. It is useful when checking repeat grinding or inspection limits.

Are the presets fixed standards?

No. Presets are starting points for comparison. Always follow your tool design, material needs, machine setup, and shop procedure.

What exports are available?

You can download the result as a CSV file or a PDF file. Both are useful for records and repeated setup checks.


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