Question

What is the approximate length of arc s on the circle ?

Answer 1

By definition, the arc length is given by:
 s = R * theta
 Where,
 R: radio
 theta: angle
 Substituting the values we have:
 s = 15 * (200 * (pi / 180))
 s = 52.36 in
 Answer:
 The approximate length of arc on the circle is:
 C) 52.36 in

Answer 2

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° = $200\times \frac{\pi}{180}$  radian

= $\frac{200\pi}{180}$

= $\frac{200\times 3.14}{180}$

= $\frac{628}{180}$

And, the Radius of the circle = 15 in,

Thus, the length of the arc s,

$=15\times \frac{628}{180}=\frac{9420}{180}=52.3333\approx 52.3$

⇒ Length of arc S is approximately 52.3 in which is closed to option C,

⇒ Option C is correct.