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