Measurements: Measurement Math

Table of Contents

1. Two-Dimensional Geometry of Measurements
   1. Point
   2. Line Segment
   3. Plane
   4. Circle
      1. Degrees, Minutes, Seconds
         1. Degree
         2. Minute
         3. Second
      2. Diameter
      3. Radius
      4. Circumference
      5. Arc
   5. Angles
   6. Triangles
   7. Relationship of Features
      1. Datums
      2. Parallelism
      3. Perpendicularity
      4. Radius between Two Perpendicular Surfaces
2. Common Math Formulae
   1. Circle Formulae
      1. Circumference of a Circle
         1. Calculating the Circumference of a Circle
         2. Calculating Circumference Example 1
         3. Calculating Circumference Example 2
      2. Area of a Circle
         1. Calculating the Area of a Circle
         2. Calculating the Area of a Circle Example
   2. Triangle Formulae
      1. Area of a Triangle
         1. Calculating the Area of a Triangle
         2. Calculating the Area of a Triangle Example
      2. The Pythagorean Theorem
         1. The Pythagorean Theorem Formula
         2. The Pythagorean Theorem Formula Example
      3. Sine, Cosine, and Tangent
         1. Calculating Sine, Cosine, and Tangent
         2. Calculating Sine, Cosine, and Tangent Examples
   3. Degrees, Minutes, Seconds Formulae
      1. Adding Degrees, Minutes, Seconds
         1. When Minutes and Seconds Add up to Less Than 60
         2. When Minutes Add up to Greater Than or Equal to 60
         3. When Seconds Add up to Greater Than or Equal to 60
         4. When Minutes and Seconds Add up to Greater Than or Equal to 60
         5. When Seconds Add up to Greater Than or Equal to 60 and the Final Answer Is a Complete Circle
      2. Subtracting Degrees, Minutes, Seconds
         1. When Subtraction Results in Enough Minutes and Seconds
         2. When Subtraction Results in a Negative Amount of Seconds
         3. When Subtraction Results in a Negative Amount of Minutes
         4. When Subtraction Results in a Negative Amount of Minutes and Seconds
      3. Converting DDD/MM/SS to Decimal Degrees
      4. Converting Decimal Degrees to DDD/MM/SS