Find the polar equation for the Cartesian equation x42 y2

Find the polar equation for the Cartesian equation
(x-4)^2 + y^2 = 16

Solution

(x-4)^2 + y^2 = 16

x-4 = 4 cos

y = 4 sin

r² - 8r cos(t) + 16 = 16

r^2 = 8 r cost

r = 8 cost

Find the polar equation for the Cartesian equation (x-4)^2 + y^2 = 16Solution(x-4)^2 + y^2 = 16 x-4 = 4 cos y = 4 sin r² - 8r cos(t) + 16 = 16 r^2 = 8 r cost r

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