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anonymous
 one year ago
find arc length of a circle with a radius of 5 and a central angle of 7 rad.
anonymous
 one year ago
find arc length of a circle with a radius of 5 and a central angle of 7 rad.

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444528017439:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444528026996:dw \[\Large \text{Arc length} = \frac{\text{radian angle}}{2\pi \ \text{radians}}*(\text{circumference})\] \[\Large S = \frac{\theta}{2\pi}*(2\pi*r)\] \[\Large S = \frac{\theta}{\cancel{2\pi}}*(\cancel{2\pi}*r)\] \[\Large S = \theta*r\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2The formula \(\Large S = \theta*r\) works only if \(\Large \theta\) (greek letter theta) is in radians

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 35? @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2hmm something is off though, I think theta needs to be restricted

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the formula only works if theta is between 0 and 2pi

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.27 radians = 7*(180/pi) = 401.070456591577 degrees approximately this angle is over 360 degrees so what needs to happen is you need to find the reference angle to 7 radians dw:1444528584599:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444528610304:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2does it really say "7 radians" ? or is it some fraction with pi in it?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2hmm so strange. Usually the central angle is something between 0 and 2pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0off topic, but dw:1444529191578:dw what does the "w" STAND FOR?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2v = linear velocity w (some books use \(\Large \omega\) which is the greek letter omega) = angular velocity r = radius

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the angular velocity or speed is how fast the object is revolving around a fixed center point one example of an angular velocity is pi radians per second. Each second, the object rotates pi radians or 180 degrees
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