Enter the number of sides of an object into the calculator to determine the correct wood angle cut.
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Angle Cut Formula
The following formula is used to calculate the miter angle cut for each end of each piece when making a regular S-sided shape (two pieces meeting at each corner).
A = 180 / S
- Where A is the miter angle cut in degrees
- S is the number of sides of the object (regular polygon)
To calculate an angle cut, divide 180 by the number of sides.
Angle Cut Definition
What is an angle cut? An angle cut is the angle setting (miter angle) used to cut the ends of wood pieces so they fit together to form a desired shape.
Example
How to calculate an angle cut?
- First determine the number of sides.
For this example, we are attempting to cut a piece of lumber into a 4 sided object.
- Next, calculate the miter angle.
Using the formula above, calculate the angle cut. 180/4 = 45 degrees miter angle cut.
Cutting Angles
Cutting angles are most often used in the process of making joints for two or more pieces of wood. The angle that the wood is cut at is often referred to as the miter cut.
The most common type of miter angle is 45 degrees. This is because a 45-degree angle is used to join two pieces of wood at a total of 90 degrees.
While the most common cut joins only two sides or pieces of wood, more than two pieces of wood can be combined to form 90 degrees. For example, a 3-piece joint would require angles of 30 degrees.

