Question

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

A) 5.23 in
B) 41.87 in
C) 52.36 in
D) 104.67 in

Answer 1

Answer: C) 52.36 in

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* (\pi)/(180)` radian

=
`(200\pi)/(180)`

=
`(200* 3.14)/(180)`

=
`(628)/(180)`

And, the Radius of the circle = 15 in,

Thus, the length of the arc s,

`=15* (628)/(180)=(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.

Answer 2

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