## kaylala 2 years 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

1. ***[ISURU]***

convert 114.6 deg in to radiants

2. kaylala

is it 19.1π/30?

3. ***[ISURU]***

yes!

4. ***[ISURU]***

now use $S = r \theta$ :P

5. Loser66

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

6. kaylala

S=19.1π/30 ? is it?

7. ***[ISURU]***

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

8. kaylala

i dont know what is its unit of this measure?

9. ***[ISURU]***

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

10. kaylala

so my answer is in degree? 114.6deg?

11. ***[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

12. kaylala

i see

13. kaylala

but s=114.6units. not 114.6deg are those equal still?

14. kaylala

is 114.6units equal to 114.6deg?

15. ***[ISURU]***

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

16. ***[ISURU]***

it doesnt say 114.6 angle is equal to 114.6 unit

17. kaylala

wait i'm confused

18. 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

19. kaylala

hence it's false? @Loser66 arc L is 114.6 unit and not 114.6deg???

20. kaylala

@ isuru?

21. ***[ISURU]***

no it;s not false ....

22. ***[ISURU]***

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

23. kaylala

oh i get it now

24. kaylala

thanks :)

25. ***[ISURU]***

u r welcome!