By knowing the properties of circles, the circle with a <em>central</em> angle ACB of 48° and the <em>arc</em> length AB is 144 inches has a circumference of 1080 inches.
<h3>How to determine the circumference</h3>
According to the <em>Euclidean</em> geometry, the <em>circular</em> arc (s), in inches, is directly proportional to the <em>central</em> angle (θ), in radians:
s = θ · r (1)
Where r is the radius of the circle, in inches. Please notice that the arc is directly proportional to the <em>central</em> angle and that the circumference is determined for a <em>central</em> angle of 360° (2π). Hence, we can determine the circumference of the circle by using the following relationship:
s/144 in = 360°/48°
s = (144 in) · (360°/48°)
s = 1080 in
By knowing the properties of circles, the circle with a <em>central</em> angle ACB of 48° and the <em>arc</em> length AB is 144 inches has a circumference of 1080 inches.
To learn more on circumferences: brainly.com/question/4268218
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