Answer: [tex]r=\dfrac{4}{\theta}\text{ cm}[/tex] .
Step-by-step explanation:
We know that , [tex]l= r\theta[/tex] , where l = length of arc , r= radius , [tex]\theta=[/tex] central angle ( in radians).
Here , l= 4 cm
Substitute this value in the formula , we get
[tex]4=r\theta \\\\\Rightarrow\ r=\dfrac{4}{\theta}[/tex]
Hence, the formula of r in terms of [tex]\theta[/tex] is [tex]r=\dfrac{4}{\theta}\text{ cm}[/tex] , where [tex]\theta=[/tex] central angle ( in radians).
