Answer: the arc length AC is (176*pi)/15 centimeters.
Step by step:
Given an angle "x" in degrees the arc length can be determined using the formula:
[tex]l = \frac{x}{360^\circ}\cdot 2\pi r[/tex]
Basically, the above is a fraction of the circumference.
We know t = 16 cm, so what needs to be determined is the angle x.
Given that the angles in a full circle must add up to 360 degrees, and we know the two remaining angles: 135 and 93, our angle is:
x = 360 - 135 - 93 = 132 degrees
and so the arc length is :
[tex]l_{AC}=\frac{132}{360}2\pi \cdot 16 cm = \frac{176}{15}\pi cm[/tex]
