Let r be the radius of the circle.
Given, Central angle = 200° = (200π/180) radians = θ (say)
Thus, Area of the sector = 770 cm2
⇒ 770 = (1/2)r2θ
![](https://www.sarthaks.com/?qa=blob&qa_blobid=534002950267635893)
⇒ r = 21 cm
Thus radius of the sector = 21 cm
Now, Length of the corresponding arc = Radius x Central angle (in radians)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=3527890184503086738)
= 220/3 cm = 73.33 cm
Hence, the required length of the corresponding arc is 73.33 cm.