What is the measure of theta
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Answer:
B. 3 radians
Step-by-step explanation:
We are given the following components of the circle.
Radius of circle (r) = 4 cm
Length of arc (l) = 12 cm
Lenght of arc of a circle is given by the following formula:
[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]
Substituting the values of l and r in the above formula, we find:
[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\
\therefore 12 = \theta \times 4\\\\
\theta = \frac{12}{4}\\\\
\theta = 3 \: radians[/tex]