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OpenStudy (anonymous):
Use the arc length formula and the given information to find s. Show your work for full credit.
r = 15 ft θ = 35° s = ?
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ganeshie8 (ganeshie8):
first convert the angle to more sophisticated units : radians
ganeshie8 (ganeshie8):
know how to convert \(35\) degrees to radians ?
OpenStudy (anonymous):
yes is it \[\Pi/12\]
OpenStudy (anonymous):
oh nvm i think i did the wrong number
OpenStudy (anonymous):
i did 15 rather than 35
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OpenStudy (anonymous):
so im confused on how to convert 35 degrees to radians because i get a repeating decimal answer
OpenStudy (anonymous):
how do i do it @ganeshie8
OpenStudy (anonymous):
\[x^ \circ \times \frac{ \pi }{ 180^\circ }\] to convert into radians
OpenStudy (anonymous):
where x is the given degree
OpenStudy (anonymous):
i get a decimal answer on the bottom though so i dont know where to go from there @iambatman
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OpenStudy (anonymous):
because 35 isnt a factor of 180
OpenStudy (anonymous):
\[7\Pi/36\]?
ganeshie8 (ganeshie8):
looks good!
OpenStudy (anonymous):
That's fine now use \[s=r \theta \]
OpenStudy (anonymous):
i got \[105\Pi/36\]
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OpenStudy (anonymous):
it doesnt look right
ganeshie8 (ganeshie8):
\[\large s = r*\theta = 15*\dfrac{35\Pi}{180} = \dfrac{35\Pi}{12}\]
ganeshie8 (ganeshie8):
your answer is also correct,
its just its not fully simplified
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