Question

PLEASE HELP ASAP!!
The arc corresponding to a central angle of 35 in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places.

Answer 1

So if you know the distance around an entire circle compared to the angle it travels, then you have a proportion that you can compare like this:

Answer 2

\[\frac{ C }{ \theta }=\frac{ 2\pi r }{ \theta }=\frac{ 2\pi 10 }{ 2\pi }=\frac{ arc length }{ \theta }\]

So just plug in to this, 35 and solve\[\frac{ 2\pi 10 }{ 360 }=\frac{ arc length }{ 35 }\]

Answer 3

So it would be .17??

Answer 4

@Kainui