What is the value of the angle \(105^\circ\) in circular measure (radians)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\displaystyle\frac{7\pi}{12}\)
Circular measure is the angle in radians, and \(180^\circ=\pi\) radians. So degrees are changed to radians by multiplying by \(\frac{\pi}{180}\).
\(105^\circ\displaystyle=105\times\frac{\pi}{180}=\frac{7\pi}{12}\)