anonymous
  • anonymous
CAN SOMEONE PLEASE HELP ME!! Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
is r the given?
anonymous
  • anonymous
yes r is 8 its based off the formula x^2+y^2=8
anonymous
  • anonymous
i think its the last one r^2=64 r=8

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anonymous
  • anonymous
x^2+y^2=8 ==> r^2=8
anonymous
  • anonymous
how can r^2 be both 8 and 64?
anonymous
  • anonymous
r^2=8
anonymous
  • anonymous
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anonymous
  • anonymous
r^3=64
anonymous
  • anonymous
8^2=64
anonymous
  • anonymous
no but when you are converting to a polar equation \[r=\sqrt{x^2+y^2}\]
anonymous
  • anonymous
therefore \[r^2=x^2+y^2\]
anonymous
  • anonymous
so you are replacing the \[x^2+y^2 \]
anonymous
  • anonymous
with \[r^2\]
anonymous
  • anonymous
r^2=8
anonymous
  • anonymous
?
anonymous
  • anonymous
yes you are converting from a rectangular equation to a polar equation
anonymous
  • anonymous
that's what is stated in the question to do
anonymous
  • anonymous
thx
anonymous
  • anonymous
but if you teacher wants r itself then r is \[r=2\sqrt{2}\]
anonymous
  • anonymous
r cant be 4 because you have are taking the root of 8 not halving it
anonymous
  • anonymous
ok

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