anonymous
  • anonymous
What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3.14 for π and round your answer to the nearest hundredth.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
0.65 inch 1.13 inches 6.80 inches 390.01 inches
blackstreet23
  • blackstreet23
formula for arc length \[\int\limits_{a}^{b} \sqrt{1+(f'(x))^2}\]
anonymous
  • anonymous
so just solve it??

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blackstreet23
  • blackstreet23
ohh i see
blackstreet23
  • blackstreet23
i was having the wrong approach
blackstreet23
  • blackstreet23
it is something like this http://www.regentsprep.org/regents/math/algtrig/atm1/arclengthlesson.htm
blackstreet23
  • blackstreet23
|dw:1437620660464:dw|
blackstreet23
  • blackstreet23
theta = r / s where s is the arc length
blackstreet23
  • blackstreet23
since we want s then our equation is (theta * r)
blackstreet23
  • blackstreet23
so it would be (65 * 6)
blackstreet23
  • blackstreet23
but that is degrees and we want it in radians
blackstreet23
  • blackstreet23
so we need to convert we do that by (65* pi)/180
blackstreet23
  • blackstreet23
since they tell you use 3.14 for pi just do (65*3.14)/180
blackstreet23
  • blackstreet23
that is approximately 1.13
blackstreet23
  • blackstreet23
so plugin back
blackstreet23
  • blackstreet23
1.13 * 6
blackstreet23
  • blackstreet23
the answer is 6.80
blackstreet23
  • blackstreet23
rounding it up
blackstreet23
  • blackstreet23
do you get why?
blackstreet23
  • blackstreet23
ok good luck then!
anonymous
  • anonymous
sorry i left my computer i understand it now thank you so much @blackstreet23

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