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Calculators

How to convert Celsius to Fahrenheit, and a change in temperature.

The formula for °C to °F and back, why −40 is the same on both scales, and why a change of 10 °C is 18 °F, not 50 °F.

By 3 min read

The Unit converter reading 5 ft 11 in to cm and answering exactly 180.34 cm, beside a ruler marked in inches and centimetres

Temperature is the one common conversion that is not a single multiplication: the two scales start in different places.

The formula.

°F = °C × 9/5 + 32, and °C = (°F − 32) × 5/9. So 37 °C is 37 × 1.8 + 32 = 98.6 °F exactly, and 100 °C is 212 °F. The scales cross at −40, which is the same in both.

A change in temperature has no 32.

If the weather warms by 10 °C, it warms by 18 °F, not 50 °F, because the 32 only moves where the scale starts. Turn on “It is a change in temperature” under More options and the converter leaves it out.

Kelvin.

A kelvin is the same size as a degree Celsius, starting at absolute zero: 0 °C is exactly 273.15 K. Type 300 K to C and the converter shows the formula.

Further reading

Topics: celsius to fahrenheit · fahrenheit to celsius · c to f formula · temperature conversion · 37 c in f · temperature difference

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