Answer: 2.7 radians.
Step-by-step explanation:
The formula we use to find the length of the arc :-
[tex]l=\theta r[/tex] , where [tex]\theta[/tex] is the measure of the central angle (in radians )and r is the radius .
Given : An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in.
i.e. l= 8 in. and r = 3 in.
From the above formula , we have
[tex]8=\theta (3)\\\\\Rightarrrow\ \theta=\dfrac{8}{3}=2.66666666667\approx2.7\text{ radians}[/tex] [Rounded to the nearest tenth.]
Hence, the measure of the angle = 2.7 radians.
