Convert 230 degrees to radians.
Understand the Problem
The question is asking to convert an angle measurement from degrees to radians. To solve this, we can use the conversion factor that π radians is equivalent to 180 degrees.
Answer
The angle in radians is $x \cdot \frac{\pi}{180}$ where $x$ is the angle in degrees.
Answer for screen readers
The angle in radians is $x \cdot \frac{\pi}{180}$.
Steps to Solve
- Identify the Angle in Degrees
Determine the angle that you need to convert. Let’s say the angle is $x$ degrees.
- Use the Conversion Factor
To convert degrees to radians, use the formula: $$ \text{radians} = x \cdot \frac{\pi}{180} $$
This means for every 180 degrees, there is $\pi$ radians.
- Multiply the Angle by the Conversion Factor
Substituting the value of $x$ from step 1 into the equation from step 2 will give you the angle in radians: $$ \text{radians} = x \cdot \frac{\pi}{180} $$
- Simplify the Result
After multiplying, simplify the result if necessary to get the final angle measurement in radians.
The angle in radians is $x \cdot \frac{\pi}{180}$.
More Information
Converting degrees to radians is important in many areas of mathematics and physics, especially when working with trigonometric functions, as most mathematical equations take radians as input.
Tips
- Forgetting to multiply by $\frac{\pi}{180}$: Always remember that you need to apply this conversion factor to convert degrees to radians.
- Mixing up the direction of conversion: Ensure that you are converting from degrees to radians, not the other way around.
