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Converters · Formula sheet

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Converters formulas

One printable sheet for 19 Converters tools — formulas collected from each calculator’s How it works.

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Acreage Calculator

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\[ A_{\mathrm{m}^{2}} = \ell_{\mathrm{m}}\, w_{\mathrm{m}} \]

Convert each side to meters, multiply for square meters, then divide by the area unit’s size in square meters.

\[ 1\,\mathrm{acre} = 4046.8564224\,\mathrm{m}^{2} \]

One hectare is 10,000 m² (about 2.471054 acres). One acre is 43,560 square feet.

Angle Converter

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\[ \pi\ \mathrm{rad}=180^\circ \]

Choose degrees, radians, or gradians, then enter the angle. A full circle is 360 degrees, 2π radians, or 400 gradians.

Area Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Base Converter

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\[ n = \sum d_i b^{i} \]

Parse the input in the source base to get an integer, then rewrite it in the target base.

Data Storage Converter

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\[ 1\,\mathrm{GiB}=1024\,\mathrm{MiB} \]

Pick a binary unit on each side. 1 GiB is 1024 MiB.

Download Speed Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Energy Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Force Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Fuel Economy Converter

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\[ L/100\mathrm{km}=235.214583/\mathrm{mpg_{US}} \]

Choose US or UK gallons and a direction, then enter the figure. 30 US mpg is 7.84 L/100 km.

Length Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Megabytes Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Power Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Pressure Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Roman Numerals Converter

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\[ 1994 = MCMXCIV \]

Greedy mapping from largest symbol to smallest builds the Roman form; the reverse sums signed place values.

Temperature Converter

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\[ ^{\circ}\!F = ^{\circ}\!C \times \tfrac{9}{5} + 32 \]

Convert through Celsius as an intermediate scale.

\[ K = ^{\circ}\!C + 273.15 \]

Kelvin is Celsius shifted by absolute zero.

Time Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Velocity Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Volume Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

Weight Converter

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\[ x_{\text{to}} = x_{\text{from}} \times \frac{f_{\text{from}}}{f_{\text{to}}} \]

Scale to the base unit, then to the target unit.

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