Question

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Answer 1

Answer:

$\theta = \frac{\pi^c}{3}$

Step-by-step explanation:

Length of arc of a circle is given by the formula:

$l= \frac{\theta}{360\degree} \times 2\pi r$

$Plug\: l = \pi, \: r = 3$ in the above equation, we find:

$\pi= \frac{\theta}{360\degree} \times 2\pi \times 3$

$\pi= \frac{\theta}{360\degree} \times 6\pi$

$\pi= \frac{\theta}{60\degree} \times \pi \\\\

\theta = \frac{\pi\times 60\degree}{\pi } \\\\

\theta = 60\degree \\\\

\theta = 60\times \frac{\pi^c}{180} \\\\

\huge\red {\boxed {\theta = \frac{\pi^c}{3}}}

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