Question

What is the approximate length of arc s on the circle below? Use 3.14 for

Round your answer to the nearest tenth.
S=330°
12 ft

Answer 1

the length of arc is 69.1 feet

Answer 2

The length of arc is 69.1 feet

Solution:

The length of arc when angle given in degrees is given as:

`Arc\ length = ( \theta )/(360) * 2 \pi r`

Where,

r is the radius

`\theta` is the central angle in degrees

From given,

`r = 12\ feet\\\\\theta = 330^(\circ)`

Substituting the values we get,

`Arc\ length = ( 330 )/(360) * 2 * 3.14 * 12\\\\Arc\ length = ( 330 )/(360) * 6.28 * 12\\\\Arc\ length = 69.08 \approx 69.1`

Thus the length of arc is 69.1 feet