kaylala
  • kaylala
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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***[ISURU]***
  • ***[ISURU]***
convert 114.6 deg in to radiants
kaylala
  • kaylala
is it 19.1π/30?
***[ISURU]***
  • ***[ISURU]***
yes!

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***[ISURU]***
  • ***[ISURU]***
now use \[S = r \theta\] :P
Loser66
  • Loser66
no need to do that , it's true since radius =1 , it is false if radius \(\neq 1\)
kaylala
  • kaylala
S=19.1π/30 ? is it?
***[ISURU]***
  • ***[ISURU]***
yes ... i agree loser66 ... but it;s the formal method... so i thought it would be better to say it first
kaylala
  • kaylala
i dont know what is its unit of this measure?
***[ISURU]***
  • ***[ISURU]***
@kaylala it is exactly as loser66 said.. since the raius is 1 unit... the arc is equal to the angle..
kaylala
  • kaylala
so my answer is in degree? 114.6deg?
***[ISURU]***
  • ***[ISURU]***
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
kaylala
  • kaylala
i see
kaylala
  • kaylala
but s=114.6units. not 114.6deg are those equal still?
kaylala
  • kaylala
is 114.6units equal to 114.6deg?
***[ISURU]***
  • ***[ISURU]***
No. but the question says the angle is 114.6 degrees and the arc is 114.6units
***[ISURU]***
  • ***[ISURU]***
it doesnt say 114.6 angle is equal to 114.6 unit
kaylala
  • kaylala
wait i'm confused
Loser66
  • Loser66
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
kaylala
  • kaylala
hence it's false? @Loser66 arc L is 114.6 unit and not 114.6deg???
kaylala
  • kaylala
@ isuru?
***[ISURU]***
  • ***[ISURU]***
no it;s not false ....
***[ISURU]***
  • ***[ISURU]***
the angle has a unit ... so it's in degrees
kaylala
  • kaylala
oh i get it now
kaylala
  • kaylala
thanks :)
***[ISURU]***
  • ***[ISURU]***
u r welcome!

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