Question

If arc 8 radius in cms, then unit of 0 is in
(a) radians (b) degree (c) cm^2
(d) none​

Answer 1

$Given \:radius \: an \:arc (r) = 8 \:cm$

$i) If \:central \:angle \: \theta \: is \: in \:degrees$

$then \: \pink{arc\: length } = \frac{\theta}{360\degree}\times 2\pi r$

$ii) If \:central \:angle \: \theta \: is \: in \:radians$

$then \: \pink{arc\: length } = \theta r$

Therefore.,

$Units \: of \: \theta \: are \: \pink { radius }$

$or \: \green { degree }$

$Option \: \pink { (a) \:and \: (b) } \: are \: correct.$

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