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
A sector has a central angle of 135° and a radius of 8 cm. Another sector of the same circle has a central angle of \(\dfrac{3\pi}{4}\) radians. What is the ratio of the area of the first sector to the area of the second sector?
Convert 2.5 radians to degrees.
A sector of a circle having a radius of 10 cm and has a central angle of \(\frac{3\pi}{4}\) radians. What is the area of the sector?
- Convert 0.5 radians to degrees.
Convert \(\frac{2\pi}{3}\) radians to degrees.
What is \(\frac{3\pi}{4}\) radians in degrees?
- Convert 1.5 radians to degrees.
What is the radian measure of 150°?
What is \(\dfrac{5\pi}{4}\) radians in degrees?
- Convert 3 radians to degrees.
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.
- Which of the following angles is same as 135° ?
- Which of the following is the best approximated degree measure of 4 radians?
30 degree is equal to _________ radians.
