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

User Lopper
by
8.1k points

1 Answer

2 votes

Answer:


69.08\ ft

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


(24\pi)/(360)=(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

User Agung Maha
by
8.2k points

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