Convert 0.5 degrees to radians.
Understand the Problem
The question is asking to convert an angle measurement from degrees to radians. To do this, we will multiply the degree value by the conversion factor of π/180.
Answer
60 degrees is $\frac{\pi}{3}$ radians.
Answer for screen readers
The angle of 60 degrees converts to $\frac{\pi}{3}$ radians.
Steps to Solve
- Identify the degrees to convert
Start with the angle measurement in degrees. For example, let's convert 60 degrees to radians.
- Use the conversion factor
To convert degrees to radians, multiply the degree measurement by the conversion factor $\frac{\pi}{180}$.
$$ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} $$
- Perform the calculation
Substitute the degree value into the equation:
$$ \text{Radians} = 60 \times \frac{\pi}{180} $$
- Simplify the result
Calculate the result:
$$ \text{Radians} = \frac{60\pi}{180} = \frac{\pi}{3} $$
Thus, 60 degrees equals $\frac{\pi}{3}$ radians.
The angle of 60 degrees converts to $\frac{\pi}{3}$ radians.
More Information
Converting angles from degrees to radians is essential in trigonometry and calculus, as many mathematical functions require angles to be in radian measure.
Tips
- Forgetting to use the conversion factor correctly. Always ensure to multiply by $\frac{\pi}{180}$.
- Not simplifying the fraction after converting. Always reduce the result to its simplest form.
