Question

Determine the arc length of AC. Leave answer exact (no decimals, leave in terms of pi).

Answer 1

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:

$l = \frac{x}{360^\circ}\cdot 2\pi r$

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 :

$l_{AC}=\frac{132}{360}2\pi \cdot 16 cm = \frac{176}{15}\pi cm$