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anzhelika [568]
2 years ago
5

I need help with this thanks!!!!!

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
7 0

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

#SPJ1

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Step-by-step explanation:

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