Transform the following polar equation into an equation in rectangular coordinates: r=4 (A) xy=16 (B) (x-4)^2+y^2=4 (C) x=4 (D) x^2+y^2=16

asked Feb 14, 2019 68.9k views

5 votes

Transform the following polar equation into an equation in rectangular coordinates: r=4

(A) xy=16
(B) (x-4)^2+y^2=4
(C) x=4
(D) x^2+y^2=16

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The answer is letter D.
Solution:
r=4
r^2=4^2
r^2=16
r^2=x^2+y^2=16
x^2+y^2=16

Robert Fines answered Feb 16, 2019

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3 votes

r=4
r^2=4^2
r^2=16
r^2=x^2+y^2=16
x^2+y^2=16

Answer: Option (D) x^2+y^2=16

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