Convert 10 radians to degrees.
Understand the Problem
The question is asking how to convert an angle measure from radians to degrees. To solve this, we will use the conversion factor that 1 radian is equal to approximately 57.2958 degrees.
Answer
To convert an angle in radians $x$ to degrees, use $ \text{degrees} = x \times \frac{180}{\pi} $.
Answer for screen readers
To convert an angle of radians $x$ to degrees, use the formula:
$$ \text{degrees} = x \times \frac{180}{\pi} $$
Replace $x$ with the actual value in radians.
Steps to Solve
- Identify the angle in radians
Determine the angle measure you want to convert from radians to degrees.
- Use the conversion factor
To convert radians to degrees, multiply the angle in radians by the conversion factor: $$ \text{degrees} = \text{radians} \times \frac{180}{\pi} $$ Here, $\pi \approx 3.14159$.
- Perform the multiplication
If the angle in radians is known, substitute it into the equation and perform the multiplication.
- Round the final answer
If required, round your final answer to an appropriate number of decimal places for clarity.
To convert an angle of radians $x$ to degrees, use the formula:
$$ \text{degrees} = x \times \frac{180}{\pi} $$
Replace $x$ with the actual value in radians.
More Information
The conversion from radians to degrees is essential in various fields such as geometry, physics, and engineering. Knowing how to switch between the two units helps in making accurate calculations based on angle measures.
Tips
- Forgetting to use the correct conversion factor. Always remember that to convert radians to degrees, you multiply by $\frac{180}{\pi}$.
- Mixing up the conversion for other angle measures. Make sure you distinguish between degrees and radians, especially in complex problems.
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