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.
Similar Questions
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Important Questions from Angles and measures in degrees and radians
If P = sin20 θ + cos48 θ, then the inequality that holds for all values of θ is
Express \({\pi\over 12}\) radians in degrees.
30 degree is equal to _________ radians.
- The radian equivalent of 150° is _______.
The central angles p, q, r and s (in degrees) of four sectors in a Pie Chart satisfy the relation 9p = 3q = 2r = 6s. What is the value of 4p - q ?
