Question

What is the approximate length of arc s on the circle below? 330 degrees central angle radius 12 feet

Answer 1

Answer:

$69.08\ ft$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=12\ ft$

substitute

$C=2\pi (12)$

$C=24\pi\ ft$

step 2

Find the approximate length of arc s

we know that

The circumference of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of arc for a central angle of 330 degrees

$\frac{24\pi}{360}=\frac{x}{330}\\\\x=24\pi(330)/360$

$x= 22\pi\ ft$ ----> exact value

assume

$\pi =3.14$

$22\pi\ ft=22(3.14)=69.08\ ft$ ----> approximate value