Answer: C) 52.36 in
Step-by-step explanation:
Since, the Arc length = Central angle formed by arc (In radian) × Radius of the circle.
By the given diagram,
The Central angle = 200° = [tex]200\times \frac{\pi}{180}[/tex] radian
= [tex]\frac{200\pi}{180}[/tex]
= [tex]\frac{200\times 3.14}{180}[/tex]
= [tex]\frac{628}{180}[/tex]
And, the Radius of the circle = 15 in,
Thus, the length of the arc s,
[tex]=15\times \frac{628}{180}=\frac{9420}{180}=52.3333\approx 52.3[/tex]
⇒ Length of arc S is approximately 52.3 in which is closed to option C,
⇒ Option C is correct.
