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VernellDebiasio12 VernellDebiasio12
  • 12-07-2015
  • Mathematics
Answered

Convert the polar equation r=4sinθ to a Cartesian equation. Answer choices: x^2 + y^2 = 4y x^2 + y^2 = 4x

Verified Answer :

Beanie4185
Beanie4185 Beanie4185
  • 12-07-2015

Start by multiplying both sides by r:

\(r = 4 \sin \theta\)
\(r^2 = 4r \sin \theta\)

Since \(r^2 = x^2 + y^2\) and \(y = r \sin \theta\), we have that

\(\bf x^2 + y^2 = 4y\)

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