Convert Degrees to Radians

To convert an angle measure from degrees to radians, you multiply the degree value by the conversion factor $\frac{\pi}{180}$.

The conversion formula is:

Angle in radians = Angle in degrees $\times \frac{\pi}{180}$

Applying the Conversion

The question asks to convert $3^\circ$ to radians.

Using the formula:

Angle in radians = $3 \times \frac{\pi}{180}$

Simplifying the Result

Now, simplify the expression:

Angle in radians = $\frac{3\pi}{180}$

Divide both the numerator and the denominator by their greatest common divisor, which is 3:

Angle in radians = $\frac{3\pi \div 3}{180 \div 3} = \frac{\pi}{60}$

Conclusion

Therefore, $3^\circ$ is equivalent to $\frac{\pi}{60}$ radians.