aaronmcclellan702 aaronmcclellan702

13-07-2022
Mathematics

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What is the measure of the central angle of a circle with radius 18 centimeters that intercepts a12π centimeters arc?

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Medunno13 Medunno13

18-07-2022

Answer: [tex]120^{\circ}[/tex]

Step-by-step explanation:

[tex]12\pi=2(\pi)(18)\left(\frac{\theta}{360} \right)\\\\12\pi =36\pi \left(\frac{\theta}{360} \right)\\\\\frac{1}{3}=\frac{\theta}{360}\\\\\theta=120^{\circ}[/tex]

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