Question

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

Answer 1

I believe its c. If I am wrong just tell me

Answer 2

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`