Woodworking Math Tables, Formulas and Calculators
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#### Contents

Page 2

• Right Triangle Angle and Dimension Formulas
• Right Triangle Calculator Trigonometric Function Table

Page 3

• Math Formulas for Polygon Shapes
• Polygon Calculator
• Tables of Angles and Dimensions for Common Polygon Shapes

#### Introduction

In this article we've put together woodworking math resources to help you solve some of the most common math problems in woodworking. The formulas, calculators and tables offered here are intended to make your calculations easier, and to offer a comparison for your own figures. Be sure to double-check all of your woodworking calculations and make an appropriate number of test cuts before you sawing the materials you've invested in for your project.

For a closer look at the math involved in calculating angles try our article, Understanding Angles.

#### Fractional / Decimal Equivalents

In the following pages, you'll notice that angle math problems are usually worked out in decimal notation. The fractional / decimal conversion chart below will help you transfer your calculations to your tape measure.

 FRACTIONAL / DECIMAL EQUIVALENTS 1/64 0.015625 17/64 0.265625 33/64 0.515625 49/64 0.765625 1/32 0.03125 9/32 0.28125 17/32 0.53125 25/32 0.78125 3/64 0.046875 19/64 0.296875 35/64 0.546875 51/64 0.796875 1/16 0.0625 5/16 0.3125 9/16 0.5625 13/16 0.8125 5/64 0.078125 21/64 0.328125 37/64 0.578125 53/64 0.828125 3/32 0.09375 11/32 0.34375 19/32 0.59375 27/32 0.84375 7/64 0.109375 23/64 0.359375 39/64 0.609375 55/64 0.859375 1/8 0.125 3/8 0.375 5/8 0.625 7/8 0.875 9/64 0.140625 25/64 0.390625 41/64 0.640625 57/64 0.890625 5/32 0.15625 13/32 0.40625 21/32 0.65625 29/32 0.90625 11/64 0.171875 27/64 0.421875 43/64 0.671875 59/64 0.921875 3/16 0.1875 7/16 0.4375 11/16 0.6875 15/16 0.9375 13/64 0.203125 29/64 0.453125 45/64 0.703125 61/64 0.953125 7/32 0.21875 15/32 0.46875 23/32 0.71875 31/32 0.96875 15/64 0.234375 31/64 0.484375 47/64 0.734375 63/64 0.984375 1/4 0.250 1/2 0.500 3/4 0.750 1 1.000
posted on August 15, 2013 by Rockler

## 4 thoughts on “Woodworking Math Tables, Formulas and Calculators”

• I am trying to figure out the geometry to build a light house, so far I know how to figure out the demensions to make the angle for my 8 sided walls its 22.5 degrees, but I cannot figure out the angles to make my walls at 22.5 on a board that is 16" at the bottom and 6" at the top with the 22.5 degrees on each sides on the walls

• I was just trying to explain this math to a friend who know nothing about cabinet making. Your math is good there is 360 degrees in a circle this is divided by 8 = 45 degrees and because you have 2 pieces coming together at each joint that angle is 22.5 degrees as you stated. What I don't know is how high you light house is to be, all your angle will remain the same. Now is the base of the lighthouse to be 16inches across & the top to be 6inches across ? if your board is just one of 8 pieces as I said your angle will remain the same I just don't know the height, but that won't change the angles. I believe if you have a bevel gauge set that at 22.5 degrees and set it at the 16 inch bottom on each edge tapering toward the center of the board and repeat on the other edge drawing lines until they intersect, now measure distance between the lines until you have the desired 6inches at the top and that should give you height . I don't know if I explained myself very well as I can't draw what I'm talking about. You math is good your angles are correct

• how can i figure out the amount of sawdust produced when processing 1000 board feet at a specific kerf

• Because "board feet" is actually a measure of volumn, if you convert 1000 board feet of lumber to sawdust there will be 1000 board feet of sawdust regardless of the width of the kerf: 1 board foot = 144 cubic inches.You can calculate the volume of a saw cut by multiplying the kerf width, in inches, by the thickness of the board in inches and the length of the cut in inches. The result is the volume of the sawdust in cubic inches - divide that number by 144 and you have the number of board feet of sawdust you produced. For example, if you rip an 8 foot 2x4 lengthwise into 2x2 pieces, the sawdust volume will be (0.125" kerf width) x (96 inches long) x (1.5 inches actual thickness) = 18 cubic inches = 0.125 board feet of sawdust.