Answer: [tex]\bold{\dfrac{16}{3}\pi}[/tex]
Step-by-step explanation:
arc length (s) = radius (r) × θ (in radians)
radius (r) = 6 cm
major arc OP is 200°, so minor arc is 160°.
[tex]\text{Convert degrees into radians}:\\\dfrac{\pi}{180}=\dfrac{\theta}{160}\\\\\\\dfrac{160\ \pi}{180}=\theta\\\\\\\dfrac{8\pi}{9}=\theta[/tex]
[tex]s=r\times \theta\\\\.\ =6\times \dfrac{8\pi}{9}\\\\\\.\ =\dfrac{2\times 8\pi}{3}\\\\\\.\ =\dfrac{16}{3}\pi[/tex]
