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anonymous

  • 5 years ago

Find the length of an arc of 40° in a circle with an 8 inch radius.

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  1. Hero
    • 5 years ago
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    associated picture?

  2. amistre64
    • 5 years ago
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    arc length is just a portion of circumference

  3. anonymous
    • 5 years ago
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    thnxx=) and no pic included

  4. amistre64
    • 5 years ago
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    circumference = angle * r, any arc length is angle * r

  5. amistre64
    • 5 years ago
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    turn the angle to rads tho

  6. Hero
    • 5 years ago
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    Yeah, amistre has it. I was thinking about something else.

  7. amistre64
    • 5 years ago
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    40 needs a pi, so 40*pi/180 = rads

  8. amistre64
    • 5 years ago
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    and go ahead an multiply in the radius as well

  9. Hero
    • 5 years ago
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    amistre, general formulas and approaches are always welcome

  10. amistre64
    • 5 years ago
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    id have to think like a pigeon then; and i tend to think on the fly lol

  11. anonymous
    • 5 years ago
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    i dnt get it answer choices are 8/9 , 16/9 or 64/9

  12. amistre64
    • 5 years ago
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    \[Arc_{length}=\frac{degree*pi*radius}{180}\]

  13. amistre64
    • 5 years ago
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    I get 8/9 pi when I do it

  14. anonymous
    • 5 years ago
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    thnxx

  15. amistre64
    • 5 years ago
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    40*8 = 320 320 32 16 --- = -- = -- pi; i mighta inputed it wrong in me calculator; let me dbl chk 180 18 9

  16. amistre64
    • 5 years ago
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    1 7/9 = 16/9 got it right that time lol

  17. anonymous
    • 5 years ago
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    lol ok

  18. Hero
    • 5 years ago
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    In general, when finding the arc length of a circle when given the radius and degree, you may use the following formula: \[\frac{\theta}{360°} = \frac{x}{2 \pi r}\] , x = arc length

  19. anonymous
    • 5 years ago
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    thnxx guys

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