Question

Find a polar equation that has the same graph as the equation in $x$ and $y$. $$(x+2)^{2}+y^{2}=4$$

          Find a polar equation that has the same graph as the equation in $x$ and $y$.
$$(x+2)^{2}+y^{2}=4$$

Added by Ignacio W.

Precalculus with Limits

Ron Larson 2nd Edition

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Solved by Expert Ma. Theresa Alin

Step 1

First, we can rewrite the equation in terms of $r$ and $\theta$ using the conversion formulas $x=r\cos\theta$ and $y=r\sin\theta$: $$(r\cos\theta+2)^2+(r\sin\theta)^2=4$$ Simplifying this equation, we get: $$r^2+4r\cos\theta+4=0$$ Show more…

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Find a polar equation that has the same graph as the equation in $x$ and $y$. $$(x+2)^{2}+y^{2}=4$$

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Find a polar equation that has the same graph as the equation in $x$ and $y$. $$(x+2)^{2}+y^{2}=4$$

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