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OpenStudy (anonymous):
Use the arc length formula and the given information to find r. Show your work for full credit.
s = 8.1 ft θ = (3.14/3)rad r = ?
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OpenStudy (jdoe0001):
\(\bf s = 8.1\qquad \qquad \theta = \cfrac{\pi}{3}\\ \quad \\ \quad \\
s = r\theta \implies \cfrac{s}{\theta} = r
\)
angle in radians
OpenStudy (anonymous):
I got 8.478
OpenStudy (jdoe0001):
hmm.... I got something else
OpenStudy (anonymous):
Ohh how'd you get it ?
OpenStudy (jdoe0001):
\(\bf \cfrac{8.1}{\frac{\pi}{3}} \implies \cfrac{8.1}{1} \times \cfrac{3}{\pi}\)
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OpenStudy (anonymous):
76.302?
OpenStudy (jdoe0001):
\(\bf s = 8.1\qquad \qquad \theta = \cfrac{\pi}{3}\\ \quad \\ \quad \\
s = r\theta \implies \cfrac{s}{\theta} = r\\ \quad \\ \quad \\
\cfrac{8.1}{\frac{\pi}{3}} \implies \cfrac{8.1}{1} \times \cfrac{3}{\pi} \implies \cfrac{8.1 \times 3}{\pi}\)
what would this give you?
OpenStudy (anonymous):
7.38
OpenStudy (jdoe0001):
hmm... I get 7.7388, but close enough I guess
OpenStudy (anonymous):
Thank you so much (:
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OpenStudy (jdoe0001):
yw
OpenStudy (anonymous):
Yeah I got that but my finger missed the 7 before 38 haha
OpenStudy (jdoe0001):
7.73493023426611331837 =)
OpenStudy (anonymous):
That works too (:
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