Which equation represents the polar form of x squared plus open paren y minus 6 close paren squared is equal to 36 ?

Substitute x = r cos θ and y = r sin θ into the equation: r² cos² θ + (r sin θ − 6)² = 36. Expanding and using cos² θ + sin² θ = 1 gives r² − 12r sin θ = 0, so the circle is represented by r = 12 sin θ. This is choice C.

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