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
