Find polar equation for the circle. Sketch circle in the coordinate plane and label it with both its Cartesian and polar equations.

Wotzdorfg

Wotzdorfg

Answered question

2021-09-03

Find polar equation for the circle. Sketch circle in the coordinate plane and label it with both its Cartesian and polar equations. x2+2x+y2=0

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-09-04Added 88 answers

Given that: 
x2+y2+2x=0 
Converting polar coordinates from Cartesian coordinates
x=rcos(θ),y=rsin(θ)x2+y2=r2 
x2+y2+2x=0 
r2+2rcos(θ)=0 
r(r+2cos(θ))=0 
r=0 
r+2cos(θ)=0 
r=2cos(θ)

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