Convert 0.4 radians to degrees.
Understand the Problem
The question is asking for the conversion of 0.4 radians into degrees. To solve this, we can use the conversion factor that 1 radian is equal to approximately 57.2958 degrees.
Answer
Approximately \( 22.9183 \) degrees.
Answer for screen readers
The conversion of ( 0.4 ) radians to degrees is approximately ( 22.9183 ) degrees.
Steps to Solve
- Identify the conversion factor
We know that ( 1 ) radian is approximately ( 57.2958 ) degrees. Therefore, to convert radians to degrees, we will multiply the number of radians by this conversion factor.
- Multiply radians by the conversion factor
To convert ( 0.4 ) radians to degrees, we calculate: $$ 0.4 \text{ radians} \times 57.2958 \text{ degrees/radian} $$
- Perform the multiplication
Now, we perform the calculation: $$ 0.4 \times 57.2958 \approx 22.9183 \text{ degrees} $$
The conversion of ( 0.4 ) radians to degrees is approximately ( 22.9183 ) degrees.
More Information
To convert between radians and degrees, using the precise factor allows for accurate conversions, which are crucial in various fields such as mathematics, physics, and engineering. Remembering that there are ( 180 ) degrees in ( \pi ) radians can also help with conversions.
Tips
- Forgetting to multiply by the conversion factor, leading to an incorrect answer.
- Miscalculating the multiplication may lead to an erroneous degree value.
