Radians to Degrees Conversion
To convert an angle from radians to degrees, multiply the radian measure by the conversion factor $\frac{180^{\circ}}{\pi}$.
Calculation Steps
- Identify the given value: The angle is given as 3 radians.
- Apply the conversion formula: Degrees = Radians $\times \frac{180^{\circ}}{\pi}$.
- Substitute the value: Degrees = $3 \times \frac{180^{\circ}}{\pi}$.
- Calculate the result: Degrees = $\frac{540^{\circ}}{\pi}$.
- Compute the numerical value: Using $\pi \approx 3.14159$, Degrees $\approx \frac{540^{\circ}}{3.14159} \approx 171.887^{\circ}$.
- Round the answer: Rounding to two decimal places gives $171.89^{\circ}$.
Final Answer
Therefore, 3 radians is approximately equal to $171.89^{\circ}$.
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