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In a circle of radius 30 inches, a central angle of 35 will intersect the circle forming an arc of length _____. A. 18.33 feet B. 87.5 inches C. 18.33 inches D. 1.17 feet

User Fthiella
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4 votes
I believe its c. If I am wrong just tell me
User David Freitag
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3 votes

Answer:

Option C.
18.33\ inches

Explanation:

we know that

The circumference of a circle is equal to


C=2\pi r

In this problem we have


r=30\ in

substitute


C=2\pi (30)=60\pi\ in

Remember that


360\° subtends the complete arc of length of
60\pi\ in

so

by proportion

Find the arc length by an angle measuring
35\°


(360)/(60\pi )=(35)/(x)\\ \\x=60\pi *35/360\\ \\x=18.33\ in

User Nenette
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