Question

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Answer 1

`\theta = (\pi^c)/(3)`

Explanation:

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

`l= (\theta)/(360\degree) * 2\pi r\\\\`

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

`\pi= (\theta)/(360\degree) * 2\pi * 3\\\\`

`\pi= (\theta)/(360\degree) * 6\pi \\\\`

`\pi= (\theta)/(60\degree) * \pi \\\\</p><p>\theta = (\pi* 60\degree)/(\pi ) \\\\</p><p>\theta = 60\degree \\\\</p><p>\theta = 60* (\pi^c)/(180) \\\\</p><p>\huge\red {\boxed {\theta = (\pi^c)/(3)}} </p><p>`