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JayDelV
 one year ago
What is the arc length of a circle that has a 7centimeter radius and a central angle that is 40 degrees? Use 3.14 for π and round your answer to the nearest hundredth.
JayDelV
 one year ago
What is the arc length of a circle that has a 7centimeter radius and a central angle that is 40 degrees? Use 3.14 for π and round your answer to the nearest hundredth.

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2hmmm my textbook is like this though for arc length \[s = \theta r \]

arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.0where L = arc legth and r radius... Now I hope you can solve it.... if not, ask me

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2s  arc length theta  the angle r  radius

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2I think we need to convert 40 degrees to radians \[40 \times \frac{\pi}{180} \rightarrow \frac{40 \pi}{180}\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2simplify that fraction first ^_^

arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.0Awesome @UsukiDoll Good job.. @JayDelV just follow @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2or we can reduce later.... \[s = \theta r \rightarrow s = \frac{40 \pi}{180} \times 7\]

JayDelV
 one year ago
Best ResponseYou've already chosen the best response.0I'm actually confused, sorry was eating.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2you're looking for the arc length of a circle The arc length of a circle formula is \[s = \theta r \] where s  arc length theta  the angle r  radius we are given the angle which is 40 degrees, but it looks like we have to convert to radians so multiply 40 by \[\frac{\pi}{180} \] \[\frac{40 \pi}{180}\] this fraction is reducible. afterwards, multiply by 7 and you have your s which is the arc length

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2you were given an angle in degree mode. We can't use degree mode for this formula, so conversion to radians is necessary

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2it's best to reduce that fraction first.. otherwise you will be stuck with an even bigger fraction to reduce.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[s = \theta r \rightarrow s =\frac{40 \pi}{180} \times 7 \rightarrow s = \frac{280 \pi}{180}\] now that's a monster fraction to be reduced.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2what is 280 divided by 10 what is 180 divided by 10

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2ok.. we still need to reduce further \[s= \frac{28 \pi}{18}\] but this time by 2 what is 28 divided by 2 what is 18 divided by 2

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2yes so we have \[s= \frac{14 \pi}{9}\] we can't reduce anymore, so we got our arc length ;)

JayDelV
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for your time I really appreciate it!

JayDelV
 one year ago
Best ResponseYou've already chosen the best response.0Oh wait, the answers are in decimals.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2ah no problem we can convert to decimals XD

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[s= \frac{14 \pi}{9} \rightarrow s =\frac{14(3.14)}{9} \rightarrow s =\frac{43.96}{9}\] \[s=4.8844444444444444444444\] the 4 after the second 8 is repeating, so it's considered a repeating decimal.
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