Angle Calculator and Carpenter's Square

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

angle calculator carpenters square

Carpenter's Square Calculator

Alpha (degrees)

Length A (m, cm, in, ft)

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

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