anonymous
  • anonymous
The arc length of the circle is 100 degrees and is 7 meters. Find the perimeter of the sector.
Mathematics
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anonymous
  • anonymous
The arc length of the circle is 100 degrees and is 7 meters. Find the perimeter of the sector.
Mathematics
jamiebookeater
  • jamiebookeater
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jdoe0001
  • jdoe0001
hmmm the arc length is 100 degrees? as opposed to 100 meters?
anonymous
  • anonymous
I have no clue. i guess its safe to assume that cause all it says is the arc length is a 100 degrees. The length of that stretched out is 7 meters. So i have to find the perimeter of the sector which i dont even know what that is.
jdoe0001
  • jdoe0001
|dw:1441238511043:dw|

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anonymous
  • anonymous
|dw:1441237812416:dw|
anonymous
  • anonymous
I thought that was the arc length
anonymous
  • anonymous
cause thats the central angle
jdoe0001
  • jdoe0001
right, but the arc's lenght is not given in degrees, it'd be a flat measuring unit, like meter, or feet now, the central angle of the arc, would be 100 degrees
anonymous
  • anonymous
o
jdoe0001
  • jdoe0001
so..hmm it sounds a lot like |dw:1441238753083:dw| if that's the case, all you'd need to get is the arc's length and sum it to the radii given
anonymous
  • anonymous
Yeah... i dont really know how to do that
jdoe0001
  • jdoe0001
\(\bf \textit{arc's length}=s=\cfrac{\theta\cdot \pi\cdot r }{180}\impliedby \theta\textit{ in degrees}\)
jdoe0001
  • jdoe0001
so the perimeter is 7 + arc's length + 7
anonymous
  • anonymous
Am i suppose to get a decimal??
jdoe0001
  • jdoe0001
yes
anonymous
  • anonymous
can i put 16pi/3 for exact???? as the arc length??
jdoe0001
  • jdoe0001
well.. you could also keep as rational as well got any choices on what's expected? float or rational?
jdoe0001
  • jdoe0001
sure
anonymous
  • anonymous
so 30.7552????
jdoe0001
  • jdoe0001
well... I get another figure https://www.google.com/search?client=opera&q=7%2B(100*pi*7/180)%2B7&sourceid=opera&ie=utf-8&oe=utf-8&channel=suggest&gws_rd=ssl
anonymous
  • anonymous
hmmm
anonymous
  • anonymous
what would be the exact form
jdoe0001
  • jdoe0001
ohh .. one sec
jdoe0001
  • jdoe0001
\(\bf \cfrac{\theta\pi r}{180}\implies \cfrac{100\cdot \pi \cdot 7}{180}\implies \cfrac{35\pi }{9} \\ \quad \\ 7+\cfrac{35\pi }{9}+7\implies 14+\cfrac{35\pi }{9}\)
anonymous
  • anonymous
That would be the perimeter?
jdoe0001
  • jdoe0001
yes
jdoe0001
  • jdoe0001
we could use 3.1416 for \(\pi\) , then again, that'd make it a float, or decimal :)
anonymous
  • anonymous
yeah. Can u help me on one last question please??
anonymous
  • anonymous
Solve using S=r(theta) Radius Central Angle Arc length ? pi/3 3/2 m
jdoe0001
  • jdoe0001
very straighforward you said it ->S =r(theta)
jdoe0001
  • jdoe0001
\(\frac{\pi }{3}\) is already in radian units so S = r * \(\theta\)
anonymous
  • anonymous
3/2 = r(pi/3)
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
everytime i solve it i get a weird decimal and its confusing me

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