Convert: $86^{ \circ } F$ to ${ }^{ \circ } C$
$27^{\circ}$
$30^{\circ}$
$180^{\circ}$
$16^{\circ}$
Answer (1)
Convert Fahrenheit to Celsius using the formula: C = ( F − 32 ) × 9 5 .
Substitute F = 86 into the formula: C = ( 86 − 32 ) × 9 5 .
Calculate the result: C = 54 × 9 5 = 30 .
The temperature in Celsius is 3 0 ∘ .
Explanation
Understanding the Problem We are given a temperature in Fahrenheit, 8 6 ∘ F , and we need to convert it to Celsius. The formula to convert Fahrenheit to Celsius is given by: ∘ C = ( ∘ F − 32 ) × 9 5 We will use this formula to convert the given temperature.
Applying the Conversion Formula Now, we substitute the given Fahrenheit temperature, 8 6 ∘ F , into the conversion formula: ∘ C = ( 86 − 32 ) × 9 5 We first calculate the difference inside the parentheses: 86 − 32 = 54 So the formula becomes: ∘ C = 54 × 9 5
Calculating the Result Next, we perform the multiplication: ∘ C = 54 × 9 5 = 9 54 × 5 = 9 270 = 30 Therefore, the temperature in Celsius is 3 0 ∘ C .
Final Answer The temperature 8 6 ∘ F is equal to 3 0 ∘ C .
So the final answer is: 3 0 ∘
Examples
Temperature conversion is a common task in many real-life situations. For example, when traveling to a country that uses a different temperature scale, you need to convert temperatures to understand the weather forecast. Also, many scientific and engineering applications require temperature conversions to ensure accurate measurements and calculations. Knowing how to convert between Fahrenheit and Celsius can help you in everyday tasks like adjusting your thermostat or understanding cooking instructions.
