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Mathematics 11 Online
OpenStudy (anonymous):

Hello, I have a question for Pre-Calc. Is there anyone that can help me?

OpenStudy (anonymous):

I can help what's your question?

OpenStudy (anonymous):

Use the arc length formula and the given information to find s. Show your work for full credit. r = 20 ft θ = 19° s = ? This is the equation that I was given for my assessment. I know that I have to use the equation s = r x angle of radians (theta), and I changed theta into radians which is 19 times pi/180, but I don't know where to go from there. I know that 19 times pi/180 is 0.105pi but what would I do after that? Just multiply it by 20, because I'd get 2.11 repeated which would be just 2.11 but I have a feeling that it isn't right.

OpenStudy (anonymous):

Hint: s=rθ

OpenStudy (phi):

s= 2.11 pi or about 6.63

OpenStudy (anonymous):

I got 2.10 pi but I'm not gonna argue with the moderator

OpenStudy (bibby):

It depends on what point in the calculation you rounded

OpenStudy (anonymous):

19 degrees= pi*19/180= 0.105pi now 0.105*pi radians have to be multiplied to 20 to get the arc length

OpenStudy (anonymous):

So the answer would be 2.111111111 or if you want to round to be somewhat precise and or accurate, the arc would be 2.10. Alright, that's a wrap on that one, I thank you all.

OpenStudy (anonymous):

Anytime! :)

OpenStudy (phi):

don't forget to multiply by pi

OpenStudy (anonymous):

Ah, so the answer is actually 6.632251186 or in this case, 6.63.

OpenStudy (phi):

in other words, 19º is about 0.3316 radians (people often write it as a number times pi, for example 0.1055 pi, but if you multiply it out you get 0.3316 radians)

OpenStudy (phi):

**Ah, so the answer is actually 6.632251186 or in this case, 6.63*** yes, but you should include the units the arc length is (about) 6.63 feet

OpenStudy (anonymous):

Understood, thank-you very much.

OpenStudy (phi):

so figuring out arc length is easy if you know the angle in radians, (and of course the radius)

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