Question

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

Answer 1

convert 114.6 deg in to radiants

Answer 2

is it 19.1π/30?

Answer 3

yes!

Answer 4

now use
\[S = r \theta\] :P

Answer 5

no need to do that , it's true since radius =1 , it is false if radius \(\neq 1\)

Answer 6

S=19.1π/30

? is it?

Answer 7

yes ... i agree loser66 ... but it;s the formal method... so i thought it would be better to say it first

Answer 8

i dont know what is its unit of this measure?

Answer 9

@kaylala it is exactly as loser66 said.. since the raius is 1 unit... the arc is equal to the angle..

Answer 10

so my answer is in degree? 114.6deg?

Answer 11

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

Answer 12

i see

Answer 13

but s=114.6units. not 114.6deg

are those equal still?

Answer 14

is 114.6units equal to 114.6deg?

Answer 15

No.
but the question says the angle is 114.6 degrees
and the arc is 114.6units

Answer 16

it doesnt say
114.6 angle is equal to 114.6 unit

Answer 17

wait i'm confused

Answer 18

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

Answer 19

hence it's false? @Loser66

arc L is 114.6 unit and not 114.6deg???

Answer 20

@ isuru?

Answer 21

no it;s not false ....

Answer 22

the angle has a unit ... so it's in degrees

Answer 23

oh i get it now

Answer 24

thanks :)

Answer 25

u r welcome!