Convert 310 degrees to radians.
Understand the Problem
The question is asking for the conversion of 310 degrees into radians. This involves using the formula for converting degrees to radians, which is to multiply the degree measure by π/180.
Answer
$\frac{31\pi}{18}$
Answer for screen readers
The final answer is $\frac{31\pi}{18}$ radians.
Steps to Solve
- Identify the conversion formula
To convert degrees to radians, we use the formula:
$$ \text{radians} = \text{degrees} \times \frac{\pi}{180} $$
- Substitute the degree value into the formula
Now we substitute 310 degrees into the formula:
$$ \text{radians} = 310 \times \frac{\pi}{180} $$
- Calculate the multiplication
Next, we perform the multiplication:
$$ \text{radians} = \frac{310\pi}{180} $$
- Simplify the fraction
We can simplify the fraction by finding the greatest common divisor of 310 and 180, which is 10:
$$ \text{radians} = \frac{31\pi}{18} $$
The final answer is $\frac{31\pi}{18}$ radians.
More Information
The conversion from degrees to radians is essential in trigonometry and calculus. Knowing how to convert can help when working with angles in different mathematical contexts.
Tips
- Forgetting to multiply by $\frac{\pi}{180}$.
- Not simplifying the fraction after converting.
