Convert 3.5 radians to degrees.
Understand the Problem
The question is asking to convert an angle measured in radians (3.5 radians) into degrees. The typical conversion factor between radians and degrees is used for this calculation.
Answer
$200.54$ degrees
Answer for screen readers
The angle of $3.5$ radians is approximately $200.54$ degrees.
Steps to Solve
- Identify the conversion factor
To convert radians to degrees, we use the conversion factor: $$1 \text{ radian} = \frac{180}{\pi} \text{ degrees}.$$
- Set up the conversion
To convert $3.5$ radians to degrees, we multiply it by the conversion factor: $$\text{Degrees} = 3.5 \times \frac{180}{\pi}.$$
- Perform the multiplication
Calculate the expression: $$\text{Degrees} = 3.5 \times \frac{180}{\pi} \approx 3.5 \times 57.2958 \approx 200.535.$$
- Final result
Rounding to two decimal places gives us: $$\text{Degrees} \approx 200.54.$$
The angle of $3.5$ radians is approximately $200.54$ degrees.
More Information
This conversion is useful in many scientific fields, including physics and engineering, where different systems of measurement are often used. Understanding how to switch between radians and degrees is essential for working with angles in trigonometry.
Tips
- Confusing the conversion factor; remember to use $\frac{180}{\pi}$ for radians to degrees.
- Miscalculating the multiplication step; use a calculator to ensure accuracy.
