7
QuizMultiple Choice

Graphing Polar Equations

Question 7 • *PGHS Precalculus B

Which equation represents the polar form of x2 + (y – 6)2 = 36?

Answer
A
r = 6cos(θ)
B
r = 12cos(θ)
C
r = 6sin(θ)
D
r = 12sin(θ)

Explanation

Substitute x = r cos(θ), y = r sin(θ), and x² + y² = r² into the circle equation. Expanding gives r² − 12r sin(θ) = 0, so the circle’s polar equation is r = 12 sin(θ), which is choice D.

AI-written and checked against the verified answer.

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