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

Question

asked May 15, 2018 199k views

2 Answers

Nenette · Answer 1 · 2018-05-21T05:55:47+0000

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
$35\°$

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