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kaylala

  • 10 months ago

trigonometry: Identify if the underlined word/s is true or false If false change it to the appropriate one A central angle of 114.6deg in a circle of radius 1 unit intercepts an arc of equal to 114.6units 114.6units is the underlined word

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  1. ***[ISURU]***
    • 10 months ago
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    convert 114.6 deg in to radiants

  2. kaylala
    • 10 months ago
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    is it 19.1π/30?

  3. ***[ISURU]***
    • 10 months ago
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    yes!

  4. ***[ISURU]***
    • 10 months ago
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    now use \[S = r \theta\] :P

  5. Loser66
    • 10 months ago
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    no need to do that , it's true since radius =1 , it is false if radius \(\neq 1\)

  6. kaylala
    • 10 months ago
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    S=19.1π/30 ? is it?

  7. ***[ISURU]***
    • 10 months ago
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    yes ... i agree loser66 ... but it;s the formal method... so i thought it would be better to say it first

  8. kaylala
    • 10 months ago
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    i dont know what is its unit of this measure?

  9. ***[ISURU]***
    • 10 months ago
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    @kaylala it is exactly as loser66 said.. since the raius is 1 unit... the arc is equal to the angle..

  10. kaylala
    • 10 months ago
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    so my answer is in degree? 114.6deg?

  11. ***[ISURU]***
    • 10 months ago
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    u dont need to know the unit of the radius... because the unit cancel out since the radius and the arc length both belong to the same unit

  12. kaylala
    • 10 months ago
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    i see

  13. kaylala
    • 10 months ago
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    but s=114.6units. not 114.6deg are those equal still?

  14. kaylala
    • 10 months ago
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    is 114.6units equal to 114.6deg?

  15. ***[ISURU]***
    • 10 months ago
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    No. but the question says the angle is 114.6 degrees and the arc is 114.6units

  16. ***[ISURU]***
    • 10 months ago
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    it doesnt say 114.6 angle is equal to 114.6 unit

  17. kaylala
    • 10 months ago
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    wait i'm confused

  18. Loser66
    • 10 months ago
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    the formula is the length of the arc L = the angle * the radius. your radius = 1 if its unit is cm, then, r = 1 cm, right? if its unit is m, then r = 1m, right? If they don't use the unit of measurement like m, cm, km...., but "unit" then, the radius is 1 unit, right? so??? the length of the arc L = 114.6 * 1 unit = 114.6 unit

  19. kaylala
    • 10 months ago
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    hence it's false? @Loser66 arc L is 114.6 unit and not 114.6deg???

  20. kaylala
    • 10 months ago
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    @ isuru?

  21. ***[ISURU]***
    • 10 months ago
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    no it;s not false ....

  22. ***[ISURU]***
    • 10 months ago
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    the angle has a unit ... so it's in degrees

  23. kaylala
    • 10 months ago
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    oh i get it now

  24. kaylala
    • 10 months ago
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    thanks :)

  25. ***[ISURU]***
    • 10 months ago
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    u r welcome!

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