Convert 330 to radians.
Understand the Problem
The question is asking to convert an angle from degrees to radians. To solve this, we will use the conversion factor where 180 degrees is equal to π radians.
Answer
The angle in radians is $\frac{\pi}{3}$.
Answer for screen readers
The angle in radians is $\frac{\pi}{3}$.
Steps to Solve
- Identify the degree measure to convert
Let's say we want to convert an angle of $x$ degrees to radians.
- Use the conversion factor
The conversion factor between degrees and radians is:
$$ \text{radians} = \text{degrees} \times \frac{\pi}{180} $$
In this case, we will apply the conversion factor to our angle measurement $x$.
- Calculate the radian measure
To find the radian measure, substitute the degree measurement into the formula:
$$ \text{radians} = x \times \frac{\pi}{180} $$
So if $x = 60$ degrees, we would calculate:
$$ \text{radians} = 60 \times \frac{\pi}{180} $$
- Simplify the result
Now simplify the expression:
$$ \text{radians} = \frac{60\pi}{180} = \frac{\pi}{3} $$
Thus, 60 degrees in radians is $\frac{\pi}{3}$.
The angle in radians is $\frac{\pi}{3}$.
More Information
Converting degrees to radians is commonly used in trigonometry and calculus. Knowing that $180$ degrees is equal to $\pi$ radians helps in visualizing angles on the unit circle.
Tips
- Forgetting to use the conversion factor of $\frac{\pi}{180}$.
- Confusing the order of degrees and radians when performing calculations.
