Replace the polar equations with equivalent Cartesian equations. Then describe o

Isa Trevino

Isa Trevino

Answered question

2021-09-11

Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph.
r2=4rcos0

Answer & Explanation

StrycharzT

StrycharzT

Skilled2021-09-12Added 102 answers

Step 1
Equation Conversion
x=rcos0
y=rsin0
r2=x2+y2
tan0=yx
Step 2
r2=4rcos0
Hence, x2+y2=4x
Hence, x2+4x+y2=0
Or, x2+4x+4+y2=0+4=4
Or, (x+2)2+y2=22
Step 3
Hence, the equivalent cartesian equation: (x+2)2+y2=22
And it represents the circle of radius 2 centred at (-2, 0)

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