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

question 28

Multiple Choice

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

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

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