Respuesta :
Answer: D) [tex]\dfrac{3\pi}{2}[/tex] radians
Step-by-step explanation:
In geometry, the radius of a unit circle = 1 unit.
Given: The arc length of a sector in the unit circle [tex]=\dfrac{3\pi}{2}[/tex]
We know that the formula to calculate length of arc having central angle x and radius r is given by :-
[tex]l=rx[/tex]
Substitute r= 1 and [tex]l=\dfrac{3\pi}{2}[/tex] in the above formula , we get
[tex]\dfrac{3\pi}{2}=(1)x\\\\\Rightarrow\ x=\dfrac{3\pi}{2}[/tex]
Hence, the measure of the angle of the sector [tex]=\dfrac{3\pi}{2}[/tex] radians