Answer:
The correct answer option is c. [tex]3\pi[/tex].
Step-by-step explanation:
We are given a circle with a minor angle of 135 degrees and its radius 4 and we are supposed to find the length of the indicates (minor) arc in radians.
So first, we will divide the angle of the arc by 360° to find the fraction of the circle's circumference that the arc makes up.
[tex]\frac{135}{360} = \frac{3}{8}[/tex]
Next we will multiply this fraction by the circumference of the circle, keeping pi as it is:
Length of the arc = [tex]\frac{3}{8} *2*\pi *4 = 3\pi[/tex]
Therefore, the length of the indicated arc in radians in [tex]3\pi[/tex].
