# Steel Product Sizing & Calculations

### CIRCLE

**Area **= Square of Diameter x .7854 or Square of Radius x 3.1416

**Circumference **= Diameter x 3.1416

**Diameter **= Circumference x .3183Doubling diameter increases area four times; tripling diameter increases area nine times, etc.

### SQUARE

**Area **= Square of Side

**Diagonal **= Side x 1.4142

**Side **= Diagonal x .7071

### SQUARE INSCRIBED IN CIRCLE

**Side of Square **= Diameter of Circle x .7071 or Circumference of Circle x .2251

**Diameter of Circle **= Side of Square x 1.4142

**Circumference of Circle **= Side of Square x 4.4429

### SQUARE AND CIRCLE WITH EQUAL AREA

**Side of Square **= Diameter of Circle x .8862

**Diameter of Circle **= Side of Square 1.128

**Circumference of Circle **= side of Square x 3.545

### RECTANGLE

**Area **= Length x Width

**Diagonal **= Square root of sum of squares of Width and Length

### TRIANGLE

**Area **= Base x 1/2 of Perpendicular Height

### HEXAGON (Equal sides and angles)

**Area **= Square of Distance across Flats x .866 or Square of Side x 2.598

**Side **= 1/2 of Diagonal or Distance across Flats x .577

**Diagonal **= Distance across Flats x 1.155 or Side x 2

### OCTAGON (Equal sides and angles)

**Area **= Square of Distance across Flats x .828 or Square of Side x 4.828

**Side **= Diagonal x .383 or Distance across Flats x 4.14

**Diagonal **= Distance across Flats x 1.082 or Side x 2.613

### SPHERE

**Area of Surface **= Square of Diameter x 3.1416

**Volume **= Cube of Diameter x .5236

### CUBE

**Area of Surface **= Square of Side x 6

**Volume **= Cube of Side

**Diagonal **= Side x 1.732

### CYLINDER

Area of curved Surface – Diameter x Length 3.1416

**Volume **= Square of Diameter x Length x .785

### CONE

**Area of Curved Surface **= Diameter of Base x Slant Height x 1.5708

**Volume **= Diameter of Base Squared x Perpendicular Height x .2618 or Area of Base x 1/3 Perpendicular Height

### PYRAMID

**Lateral Surface Area = (not incl. base) **= Perimeter of Base x 1/2 Slant Height

**Volume **= Area of Base x 1/3 Perpendicular Height