Question

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

Answer 1

The length of arc is 69.1 feet

Solution:

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

$Arc\ length = \frac{ \theta }{360} \times 2 \pi r$

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,

$Arc\ length = \frac{ 330 }{360} \times 2 \times 3.14 \times 12\\\\Arc\ length = \frac{ 330 }{360} \times 6.28 \times 12\\\\Arc\ length = 69.08 \approx 69.1$

Thus the length of arc is 69.1 feet