CALCULATOR AND CONVERSIONS
Click on the 'Degrees' button for normal calculations

RadDeg
 
Common Formulas
Circle: area = r2  circumference = d
Cylinder: volume = r2 x h
Cone: volume = (r2 x h) / 3
Sphere: volume = (4r2) / 3
Triangle: area = (b x h) / 2
Acceleration of gravity at Earth's surface: 32.2 ft/s² or 9.8 m/s²
Solutions to right triangles

As shown in the illustration, the sides of the right-sided triangle are designated a, b, and c. The angles opposite each of these sides are designated A, B, and C respectively.
Angle A, opposite the hypotenuse a is the right angle, and is therefore always one of the known quantities.

Sides and Angles Known

Formulas for Sides and Angles to be Found

Sides a and b

c=

sin B=b/a

C=90-B

Sides a and c

b=

sin C=c/a

B =90-C

Sides b and c

a=

tan B=b/c

C=90-B

Side a; Angle B

b=asin B

c=acos B

C=90-B

Side a; Angle C

b=acos C

c=asin C

B=90-C

Side b; Angle B

a=b /sin B

c=bcot B

C=90-B

Side b; Angle C

a=b /cos C

c=btan C

B=90-C

Side c; Angle B

a=c /cos B

b=ctan B

C=90-B

Side c; Angle C

a=c /sin C

b=ccot C

B=90-C

Solutions to octagons

As shown in the illustration, the dimensions of the equal sided and angled octagon are designated F and D. The angles between any two sides is 135 and between corners from center is 45. A = area.

Formulas corrected 1/27/2014 with feedback from George Dvorak of Australia. Thank you!

Dimension Known

Formulas for Area or dimension to be found

F

A=F2.8284

D=F1.0824

S=F.4142

S

A=S24.8284

D=S2.6131

F=S2.4142

D

A=D2.7071

S=D.3827

F=D.9239

Multiply By To Obtain
Length
millimeters[mm] .03937 inches[in]
centimeters[cm] .3937 inches[in]
meters[m] 39.37 inches[in]
kilometers[km] .62137 miles[mi]
nautical miles[knots] 6076.1 feet[ft]
miles[mi] 1.15078 nautical miles
fathoms 6 feet[ft]
leagues 3 nautical miles
rods 16.5 feet[ft]
furlongs 10 chains
chains 4 rods
Angstroms[Å] 3.937x10-6 inches[in]
astronomical units[AU] 93x106 miles[mi]
light years 5.87851x1012 miles[mi]
Area
acres 43555.69 square feet[ft²]
square miles 640 acres
acres 10 square chains
square chains 16 square rods
hectares 107600 square feet
Volume
liters[l] .0353147 cubic feet[cf]
U.S. gallons[gal] 3.785 liters[l]
gallons[gal] .133681 cubic feet[cf]
cubic feet[cf] 7.48052 gallons[gal]
cubic feet[cf] .02832 cubic meters[m3]
cubic centimeters[cc] .06102374 cubic inches[ci]
tablespoons[Tbsp] 3 teaspoons[tsp]
Weight
kilograms[kg] 2.20462 pounds[lbs]
ounces[oz] 28349.5 milligrams[mg]
short tons 2000 pounds[lbs]
long tons 2240 pounds[lbs]
metric tons 2204.62 pounds[lbs]
c.f. of H2O 62.42 pounds[lbs]
gallons of H2O 8.3443 pounds[lbs]
gallons of gasoline 5.757 pounds[lbs]
Pressure
psi .00689476 MPa
MPa 145.038 psi
inches of H2O .0361273 psi
inches of Hg(mercury) .491154 psi
cm of H2O .0142233 psi
cm of Hg(mercury) .193368 psi
atmospheres[atm] 14.6959 psi
bars 14.5038 psi
Electrical
kVA 1ph 1000 / V amps[A]
kVA 2ph 1000 / 2V amps[A]
kVA 3ph 1000 / 1.73V amps[A]
kW 3413 BTUs
horsepower 745.7 watts
joules .0002778 watt-hrs
joules 9.48x10-4 BTUs
Temperature
degrees F (F-32)5/9 degrees C
degrees C (C9/5)+32 degrees F
Miscellaneous
1 score 20 units
1 ream 480 sheets

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