VernellDebiasio12 VernellDebiasio12

12-07-2015
Mathematics

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

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Beanie4185 Beanie4185

13-07-2015

Start by multiplying both sides by r:

[tex]r = 4 \sin \theta[/tex]
[tex]r^2 = 4r \sin \theta[/tex]

Since [tex]r^2 = x^2 + y^2[/tex] and [tex]y = r \sin \theta[/tex], we have that

[tex]\bf x^2 + y^2 = 4y[/tex]

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