Question

find arc length of a circle with a radius of 5 and a central angle of 7 rad.

Answer 1

\[\Large \text{Arc length} = \frac{\text{radian angle}}{2\pi \ \text{radians}}*(\text{circumference})\]
\[\Large S = \frac{\theta}{2\pi}*(2\pi*r)\]
\[\Large S = \frac{\theta}{\cancel{2\pi}}*(\cancel{2\pi}*r)\]
\[\Large S = \theta*r\]

Answer 2

The formula \(\Large S = \theta*r\) works only if \(\Large \theta\) (greek letter theta) is in radians

Answer 3

so 35? @jim_thompson5910

Answer 4

correct

Answer 5

thanks

Answer 6

hmm something is off though, I think theta needs to be restricted

Answer 7

the formula only works if theta is between 0 and 2pi