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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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convert 114.6 deg in to radiants
is it 19.1π/30?

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Other answers:

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

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