Conversions
Numerical Data | Linear_Measure |
Square_Measure |
Circular_Measure | Cubic_Measure |
Liquid_Measure |
Dry_Measure | Nautical_Measure |
Avoirdupois_Weight |
Troy_Weight |
Apothecaries’_Weight | Roman_Numerals |
Conversion_of_Fractional_Inches_to_Decimal_and_Millimeters
Numerical Data
1 radian = 180º / PI = 57.3º
360 degrees = 2 * PI radians
PI = 3.14159265358979323846
Sine 1º = 0.00029089
Arc 1º = 0.01745 radian
Base of Natural Logs = 2.718
1 cubic foot of water at 4º C (weight) = 62.43 lb
1 foot of water at 4º C (pressure) = 0.4335 lb/in2
Velocity of light in a vacuum, c = 186,280 mi/sec = 2.998 x 1010 cm/sec
Velocity of sound in dry air at 20º C, 76 cm Hg = 1127 ft/sec
Degree of longitude at Equator = 69.173 mi
Acceleration due to gravity at sea level, 40º Latitude, g = 32.1578 ft/sec2
1 inch of mercury at 4º C = 1.132 ft water = 0.4908 lb/in2
Linear Measure
12 inches = 1 foot
3 feet = 1 yard = 36 inches
5 ½ yards = 1 rod or pole – 16 ½ feet
40 rods = 1 furlong = 220 yards = 660 feet = 1/8 mile
8 furlongs = 1 statute mile = 1760 yards = 5280 feet
3 miles = 1 league = 5280 yards = 15840 feet
Side of a square = 0.707 * (diagonal of the square)
Diagonal of the square = 1.414 * (length of side)
Diagonal of the rectangle = √(length2 + width2)
Square Measure
144 square inches = 1 square foot
9 square feet = 1 square yard
30 ¼ square yards = 1 square rod = 272 ¼ square feet
160 square rods = 1 acre = 4840 square yards
640 acres = 1 square mile = 3,097,600 square yards
Circular Measure
60 seconds = 1 minute (‘)
60 minutes = 1 degree (“)
90 degrees = 1 quadrant
4 quadrants = 1 circumference
Circumference = 2 * PI * radius = PI * diameter
Area of a circle = PI * radius2
Arc Length = PI * radius /180 * angle
Cubic Measure
1728 cubic inches = 1 cubic foot
27 cubic feet – 1 cubic yard
144 cubic inches = 1 board foot
128 cubic feet = 1 cord
Liquid Measure
4 gills = 1 pint
2 pints = 1 quart = 8 gills
4 quarts = 1 gallon = 8 pints = 32 gills
31 ½ gallons = 1 barrel = 126 quarts
2 barrels = 1 hogshead = 63 gallons = 252 quarts
Dry Measure
2 pints = 1 quart
8 quarts = 1 peck = 16 pints
4 pecks = 1 bushel = 32 quarts = 64 pints
105 quarts = 1 barrel (for fruits, vegetables, and other dry commodities) =
7056 cubic inches
Nautical Measure
6 feet = 1 fathom
100 fathoms = 1 cable’s length (ordinary) = 608 feet (Br.) = 607.61 feet
(US)
120 fathoms = 1 cable’s length (U S Navy)
10 cable’s length = 1 nautical mile = 6080 feet (Br.) = 6076.1033 feet (US)
1 nautical mile = 1,1508 statute miles
3 nautical miles = 1 league (marine)
60 nautical miles = 1 degree (of a terrestrial great circle)
Avoirdupois Weight
27 11/32 grains = 1 dram
16 drams = 1 ounce = 437 ½ grains
16 ounces = 1 pound = 256 drams = 7000 grains
100 pounds = 1 hundredweight = 1600 ounces
20 hundredweight = 1 ton = 2000 pounds
112 pounds = 1 long hundredweight
20 long hundredweight = 1 long ton = 2240 pounds
Troy Weight
24 grains = 1 pennyweight
20 pennyweights = 1 ounce = 480 grains
12 ounces = 1 pound = 240 pennyweights = 5760 grains
Apothecaries’ Weight
20 grains = 1 scruple
3 scruples = 1 dram = 60 grains
8 dram = 1 ounce = 23 scruples = 480 grains
12 ounces = 1 pound = 96 drams = 288 scruples = 5760 grains
Roman Numerals
|
1 |
I |
|
8 |
VIII |
|
2 |
II |
|
9 |
IX |
|
3 |
III |
|
10 |
X |
|
4 |
IV |
|
50 |
L |
|
5 |
V |
|
100 |
C |
|
6 |
VI |
|
500 |
D |
|
7 |
VII |
|
1000 |
M |
The chief symbols are I = 1; V = 5; X = 10; L = 50; c =
100; D = 500; M = 1000. Note that IV = 4, means 1 short of 5; IX = 9, means
1 short of 10; XL = 40, means 10 short of 50; and XC = 90 means 10 short of
100, Any symbol following one of equal or greater value adds its value – II
= 2. Any symbol preceding one of greater value subtracts its value – IV = 4.
When a symbol stands between two of greater value its value is subtracted
from the second and the remainder added to the first – XIV = 14; LIX = 59.
Of two equivalent ways of representing a number, that in which the symbol of
larger denomination preceded is preferred – XIV instead of VIX for 14.
Conversion of Fractional Inches to Decimal and
Millimeters
|
Inch |
Decimal Inch |
Millimeters |
Inch |
Decimal Inch |
Millimeters |
|
1/64 |
0.015625 |
0.396785 |
33/64 |
0.515625 |
13.096875 |
|
1/32 |
0.03125 |
0.79375 |
17/32 |
0.53125 |
13.49375 |
|
3/64 |
0.046875 |
1.190625 |
35/64 |
0.546875 |
13.890625 |
|
1/16 |
0.0625 |
1.5875 |
9/16 |
0.5625 |
14.2875 |
|
5/64 |
0.078125 |
1.984375 |
37/64 |
0.578125 |
14.684375 |
|
3/32 |
0.09375 |
2.38125 |
19/32 |
0.59375 |
15.08125 |
|
7/64 |
0.109375 |
2.778125 |
39/64 |
0.609375 |
15.478125 |
|
1/8 |
0.125 |
3.175 |
5/8 |
0.625 |
15.875 |
|
9/64 |
0.140625 |
3.571875 |
41/64 |
0.640625 |
16.271875 |
|
5/32 |
0.15625 |
3.96875 |
21/32 |
0.65625 |
16.66875 |
|
11/64 |
0.171875 |
4.365625 |
43/64 |
0.671875 |
17.065625 |
|
3/16 |
0.1875 |
4.7625 |
11/16 |
0.6875 |
17.4625 |
|
13/64 |
0.203125 |
5.159375 |
45/64 |
0.703125 |
17.859375 |
|
7/32 |
0.21875 |
5.55625 |
23/32 |
0.71875 |
18.25625 |
|
15/64 |
0.234375 |
5.953125 |
47/64 |
0.734375 |
18.653125 |
|
¼ |
0.25 |
6.35001 |
¾ |
0.75 |
19.05 |
|
17/64 |
0.265625 |
6.746875 |
49/64 |
0.765625 |
19.446875 |
|
9/32 |
0.28125 |
7.14375 |
25/32 |
0.78125 |
19.84375 |
|
19/64 |
0.296875 |
7.540625 |
51/64 |
0.796875 |
20.240625 |
|
5/16 |
0.3125 |
7.9375 |
13/16 |
0.8125 |
20.6375 |
|
21/64 |
0.328125 |
8.334375 |
53/64 |
0.828125 |
21.034375 |
|
11/32 |
0.34375 |
8.73125 |
27/32 |
0.84375 |
21.43125 |
|
23/64 |
0.359375 |
9.128125 |
55/64 |
0.859375 |
21.828125 |
|
3/8 |
0.375 |
9.525 |
7/8 |
0.875 |
22.225 |
|
25/64 |
0.390625 |
9.921875 |
57/64 |
0.890625 |
22.621875 |
|
13/32 |
0.40625 |
10.31875 |
29/32 |
0.90625 |
23.01875 |
|
27/64 |
0.421875 |
10.715625 |
59/64 |
0.921875 |
23.415625 |
|
7/16 |
0.4375 |
11.1125 |
15/16 |
0.9375 |
23.8125 |
|
29/64 |
0.453125 |
11.509375 |
61/64 |
0.953125 |
24.209375 |
|
15/32 |
0.46875 |
11.90625 |
31/32 |
0.96875 |
24.60625 |
|
31/64 |
0.484375 |
12.303125 |
63/64 |
0.984375 |
25.003125 |
|
½ |
0.50 |
12.7 |
1 |
1.0 |
25.4 |
|
