Find a polar equation in r and $\theta$ that has the same graph as the equation in x and y. $( x - 8 ) ^ { 2 } + y ^ { 2 } = 64$
A) $r = 16 \cos 16 \theta$
B) $r = \cos 16 \theta$
C) $r = 16 \cos \theta$
D) $r = 64 \sec \theta$
E) $r = 16 \sin \theta$

Question

Quizplus · Accepted Answer

The given equation $(x - 8)^2 + y^2 = 64$ represents a circle centered at (8, 0) with radius 8. In polar coordinates, $x = r \cos \theta$ and $y = r \sin \theta$. Substituting $x = 8 + r \cos \theta$ and $y = r \sin \theta$ into the equation, we get $r \cos \theta = 8$, which simplifies to $r = 16 \cos \theta$.

Find a Polar Equation in R And θ\thetaθ That Has the Same Graph as the Equation in X

Find a Polar Equation in R And $\theta$ That Has the Same Graph as the Equation in X