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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    0.65 inch 1.13 inches 6.80 inches 390.01 inches

  2. blackstreet23
    • one year ago
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    formula for arc length \[\int\limits_{a}^{b} \sqrt{1+(f'(x))^2}\]

  3. anonymous
    • one year ago
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    so just solve it??

  4. blackstreet23
    • one year ago
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    ohh i see

  5. blackstreet23
    • one year ago
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    i was having the wrong approach

  6. blackstreet23
    • one year ago
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    it is something like this http://www.regentsprep.org/regents/math/algtrig/atm1/arclengthlesson.htm

  7. blackstreet23
    • one year ago
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    |dw:1437620660464:dw|

  8. blackstreet23
    • one year ago
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    theta = r / s where s is the arc length

  9. blackstreet23
    • one year ago
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    since we want s then our equation is (theta * r)

  10. blackstreet23
    • one year ago
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    so it would be (65 * 6)

  11. blackstreet23
    • one year ago
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    but that is degrees and we want it in radians

  12. blackstreet23
    • one year ago
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    so we need to convert we do that by (65* pi)/180

  13. blackstreet23
    • one year ago
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    since they tell you use 3.14 for pi just do (65*3.14)/180

  14. blackstreet23
    • one year ago
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    that is approximately 1.13

  15. blackstreet23
    • one year ago
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    so plugin back

  16. blackstreet23
    • one year ago
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    1.13 * 6

  17. blackstreet23
    • one year ago
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    the answer is 6.80

  18. blackstreet23
    • one year ago
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    rounding it up

  19. blackstreet23
    • one year ago
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    do you get why?

  20. blackstreet23
    • one year ago
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    ok good luck then!

  21. anonymous
    • one year ago
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    sorry i left my computer i understand it now thank you so much @blackstreet23

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