## aussy123 2 years ago CAN SOMEONE PLEASE HELP ME!! Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

1. galacticwavesXX

is r the given?

2. aussy123

yes r is 8 its based off the formula x^2+y^2=8

3. aussy123

i think its the last one r^2=64 r=8

4. galacticwavesXX

x^2+y^2=8 ==> r^2=8

5. galacticwavesXX

how can r^2 be both 8 and 64?

6. galacticwavesXX

r^2=8

7. aussy123

|dw:1365741494311:dw|

8. galacticwavesXX

r^3=64

9. aussy123

8^2=64

10. galacticwavesXX

no but when you are converting to a polar equation $r=\sqrt{x^2+y^2}$

11. galacticwavesXX

therefore $r^2=x^2+y^2$

12. galacticwavesXX

so you are replacing the $x^2+y^2$

13. galacticwavesXX

with $r^2$

14. aussy123

r^2=8

15. aussy123

?

16. galacticwavesXX

yes you are converting from a rectangular equation to a polar equation

17. galacticwavesXX

that's what is stated in the question to do

18. aussy123

thx

19. galacticwavesXX

but if you teacher wants r itself then r is $r=2\sqrt{2}$

20. galacticwavesXX

r cant be 4 because you have are taking the root of 8 not halving it

21. aussy123

ok