# Angle Calculator - Carpenter's Square

For the carpenter's square the angle between length A and length B is 90 degrees.

### Carpenter's Square Calculator

Alpha (degrees) | Beta (degrees) | A (mm, in) | B (mm, in) | C (mm, in) |
---|---|---|---|---|

1 | 89 | 1 | 0.0175 | 1.00015 |

2 | 88 | 1 | 0.0349 | 1.00061 |

3 | 87 | 1 | 0.0524 | 1.0014 |

4 | 86 | 1 | 0.0699 | 1.0024 |

5 | 85 | 1 | 0.0875 | 1.0038 |

6 | 84 | 1 | 0.105 | 1.0055 |

7 | 83 | 1 | 0.123 | 1.0075 |

8 | 82 | 1 | 0.141 | 1.010 |

9 | 81 | 1 | 0.158 | 1.012 |

10 | 80 | 1 | 0.176 | 1.015 |

11 | 79 | 1 | 0.194 | 1.019 |

12 | 78 | 1 | 0.213 | 1.022 |

13 | 77 | 1 | 0.231 | 1.026 |

14 | 76 | 1 | 0.249 | 1.031 |

15 | 75 | 1 | 0.268 | 1.035 |

16 | 74 | 1 | 0.287 | 1.040 |

17 | 73 | 1 | 0.306 | 1.046 |

18 | 72 | 1 | 0.325 | 1.051 |

19 | 71 | 1 | 0.344 | 1.058 |

20 | 70 | 1 | 0.364 | 1.064 |

21 | 69 | 1 | 0.384 | 1.071 |

22 | 68 | 1 | 0.404 | 1.079 |

23 | 67 | 1 | 0.424 | 1.086 |

24 | 66 | 1 | 0.445 | 1.095 |

25 | 65 | 1 | 0.466 | 1.10 |

26 | 64 | 1 | 0.488 | 1.11 |

27 | 63 | 1 | 0.510 | 1.12 |

28 | 62 | 1 | 0.532 | 1.13 |

29 | 61 | 1 | 0.554 | 1.14 |

30 | 60 | 1 | 0.577 | 1.15 |

31 | 59 | 1 | 0.601 | 1.17 |

32 | 58 | 1 | 0.625 | 1.18 |

33 | 57 | 1 | 0.649 | 1.19 |

34 | 56 | 1 | 0.675 | 1.21 |

35 | 55 | 1 | 0.700 | 1.22 |

36 | 54 | 1 | 0.727 | 1.24 |

37 | 53 | 1 | 0.754 | 1.25 |

38 | 52 | 1 | 0.781 | 1.27 |

39 | 51 | 1 | 0.810 | 1.29 |

40 | 50 | 1 | 0.839 | 1.31 |

41 | 49 | 1 | 0.869 | 1.33 |

42 | 48 | 1 | 0.900 | 1.35 |

43 | 47 | 1 | 0.933 | 1.37 |

44 | 46 | 1 | 0.966 | 1.39 |

45 | 45 | 1 | 1 | 1.41 |

Any angle can easily be created with a carpenters square and a straight board as indicated in the figure and table above. The table is generic and can be used for all types of length units.

### Example - Alpha angle 22 degrees, units on carpenters square in cm

Form the table above:

*A = 1 *

*B = 0.404*

*C = 1.079*

If the units on the carpenters square is cm and the length of the sides of the square is *50 cm* - the most exact angle can be made by multiplying these values with *50*:

*A = 1 (50 cm)*

* = 50 cm*

*B = 0.404 (50 cm)*

* = 20.2 cm*

*C = 1.079 (50 cm)*

* = 53.92 cm*

## Related Topics

### • Mathematics

Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

## Related Documents

### Angle Calculator - Carpenter's Square

Calculate angles with a straight board across carpenter's square.

### Angle Calculator - Carpenter's Square

Calculate angles with a straight board across carpenter's square.

### Angle Converter

Converting between angle units.

### Board Feet Chart and Calculator

Board feet is used as a volume measurement of lumber.

### Hardwood Lumber - Dimensions

Sizing of hardwood lumber.

### Horizontal Roof Rafters - Maximum Spans

Douglas Fir in horizontal roof rafters and maximum spans.

### Law of Sines

Calculate the angles in a generic triangle.

### Law of Tangents

Triangles and law of tangents.

### Lumber - Surface Finishing

Lumber and surface finishing abbreviations.

### Lumber - Weights

Weights of green, kiln dried and pressure treated lumber boards.

### Maximum Floor Joist Span

No. 1 and No. 2 Grade of Douglas fir and maximum span floor joists - imperial units

### Miter Saw - Calculate Sawing Angle

Calculate miter saw protractor angles for skirting and decorative mouldings work.

### Oblique Triangle

Calculate oblique triangles.

### Pythagorean Theorem

Verifying square corners.

### Radians vs. Degrees

Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.

### Right Angled Triangle

Right angled triangle equations.

### Slope - Degree, Gradient and Grade Calculator

Convert slopes pitch between degrees, gradients and grades.

### Softwood and Hardwood - Structural Strength Classes

Strength classes, bending stress and mean density of hardwood and softwood

### Softwood Lumber - Dimensions

Commercial softwood lumber dimension chart - nominal and actual sizes.

### Softwood Lumber - Grading

Rough lumber, surfaced lumber (dressed), worked lumber, shop and factory lumber and yard lumber.

### Softwood Lumber - Standard Sizes

Nominal and minimum-dressed lumber sizes.

### Squaring with Diagonal Measurements

A rectangle is square if the lengths of both diagonals are equal.

### Steel Angles - Equal Legs

Dimensions and static parameters of steel angles with equal legs - imperial units.

### Steel Angles - Unequal Legs

Dimensions and static parameters of steel angles with unequal legs - imperial units.

### Steel Angles - Unequal Legs

Dimensions and static parameters of steel angles with unequal legs - metric units.

### Structural Lumber - Section Sizes

Basic size, area, moments of inertia and section modulus for timber - metric units.

### Structural Lumber - Properties

Properties of structural lumber.

### Trigonometric Functions

Sine, cosine and tangent - the natural trigonometric functions.

### Wood Columns - Safe Loads

Safe loads for wood columns.

### Wood Species - Densities

Densities of various wood species - apple, ash, cedar, elm and more.

### Wood Species - Moisture Content and Weight

Weight of green and air-dried fire wood.