Angle Calculator  Carpenter's Square
Calculate angles with a straight board across 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 minimumdressed 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 airdried fire wood.