## kaylala Group Title 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 6 months ago 6 months ago

1. ***[ISURU]*** Group Title

convert 114.6 deg in to radiants

2. kaylala Group Title

is it 19.1π/30?

3. ***[ISURU]*** Group Title

yes!

4. ***[ISURU]*** Group Title

now use $S = r \theta$ :P

5. Loser66 Group Title

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

6. kaylala Group Title

S=19.1π/30 ? is it?

7. ***[ISURU]*** Group Title

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

8. kaylala Group Title

i dont know what is its unit of this measure?

9. ***[ISURU]*** Group Title

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

10. kaylala Group Title

so my answer is in degree? 114.6deg?

11. ***[ISURU]*** Group Title

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 Group Title

i see

13. kaylala Group Title

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

14. kaylala Group Title

is 114.6units equal to 114.6deg?

15. ***[ISURU]*** Group Title

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

16. ***[ISURU]*** Group Title

it doesnt say 114.6 angle is equal to 114.6 unit

17. kaylala Group Title

wait i'm confused

18. Loser66 Group Title

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 Group Title

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

20. kaylala Group Title

@ isuru?

21. ***[ISURU]*** Group Title

no it;s not false ....

22. ***[ISURU]*** Group Title

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

23. kaylala Group Title

oh i get it now

24. kaylala Group Title

thanks :)

25. ***[ISURU]*** Group Title

u r welcome!