Answer:
Step-by-step explanation:
You need a conversion factor to do this
here is one : there is pi radians in 180° .... or pi/180
150° * pi / 180° = 5pi / 6 Radians or = 2.62 Radians
Answer:
[tex]\theta=\dfrac{5\pi}{6}\; \rm radians[/tex]
Step-by-step explanation:
Angles around a point sum to 360° or 2π radians. Therefore, to convert an angle in degrees to radians, divide by 360° to convert degrees to the fraction of a full circle, and then multiply by 2π to convert that fraction to radians.
[tex]\theta=150^{\circ}\\\\\\\theta=\dfrac{150^{\circ}}{360^{\circ}}\times 2\pi\\\\\\\theta=\dfrac{5}{12}\times 2\pi\\\\\\\theta=\dfrac{10\pi}{12}\\\\\\\theta=\dfrac{5\pi}{6}[/tex]
Therefore, θ = 150° converted to radians is:
[tex]\theta=\dfrac{5\pi}{6}\; \rm radians[/tex]