The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).
-$$r = 5$$
A) $x + y = 5$
B) $x ^ { 2 } - y ^ { 2 } = 25$
C) $x ^ { 2 } + y ^ { 2 } = 25$
D) $x + y = 25$

Question

Quizplus · Accepted Answer

In polar coordinates, $r^2 = x^2 + y^2$. Given $r = 5$, substituting into the formula gives $x^2 + y^2 = 25$, which matches option C.

The Letters R and θ Represent Polar Coordinates r=5r = 5r=5

The Letters R and θ Represent Polar Coordinates $r = 5$