Transform the Polar Equation to an Equation in Rectangular Coordinates $r=6 \cos \theta$

question 96

Multiple Choice

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
- $r=6 \cos \theta$

• A) \(( x - 3 ) ^ { 2 } + y ^ { 2 } = 9 ;\) circle, radius 3 , center at \(( 3,0 )\) in rectangular coordinates
• B) \(x ^ { 2 } + ( y + 3 ) ^ { 2 } = 9 ;\) circle, radius 3, center at \(( 0 , - 3 )\) in rectangular coordinates
• C) \(( x + 3 ) ^ { 2 } + y ^ { 2 } = 9\); circle, radius 3 center at \(( - 3,0 )\) in rectangular coordinates
• D) \[x ^ { 2 } + ( y - 3 ) ^ { 2 } = 9 \text {; circle, radius } 3 \text {, }\] center at \(( 0,3 )\) in rectangular coordinates \(( x + 3 ) ^ { 2 } + y ^ { 2 } = 9\); circle, radius 3\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(x ^ { 2 } + ( y - 3 ) ^ { 2 } = 9 \text {; circle, radius } 3 \text {, }\) center at \(( - 3,0 )\) in rectangular coordinates\(\quad \)\(\quad \)\(\quad \)center at \(( 0,3 )\) in rectangular coordinates

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