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OpenStudy (anonymous):
what is the exact length of ab?
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OpenStudy (anonymous):
hold on drawing a diagram
OpenStudy (anonymous):
|dw:1405580647048:dw|
ganeshie8 (ganeshie8):
find the circumference and scale it to 120 degrees
ganeshie8 (ganeshie8):
whats the circumference of circle of radius \(9\) ?
OpenStudy (anonymous):
56.55 is the radius
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OpenStudy (anonymous):
circumference
I mean lol
ganeshie8 (ganeshie8):
Excellent, since we don't have a full circle, we need to scale it to whatever the angle we have got
OpenStudy (anonymous):
so if I did this problem right its 18 m
ganeshie8 (ganeshie8):
circumference of circle = \(\large 2 \pi (9) = 18\pi\)
length around arc AB = \[\huge 18\pi \times \dfrac{120}{360}\]
ganeshie8 (ganeshie8):
simplify
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ganeshie8 (ganeshie8):
leave the answer in terms of \(\pi\) cos they want it exact
OpenStudy (anonymous):
18 \pi m\]
OpenStudy (anonymous):
is the answere am I right
ganeshie8 (ganeshie8):
nope, \(18 \pi\) is the length around FULL circle.
ganeshie8 (ganeshie8):
length around AB = \(\large 18\pi \times \dfrac{120}{360} = 6\pi \)
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OpenStudy (anonymous):
ok I get it this is hard but I get it know I think thank you
ganeshie8 (ganeshie8):
glad to hear you got it :) yw!
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