Write the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at the origin and r = 4 A) x ² + y ² = 0 B) x ² - y ² - 16 = 0 C) x ² - y ² + 16 = 0 D) x ² + y ² + 16 = 0 E) x ² + y ² - 16 = 0

Question

Quizplus · Accepted Answer

The equation of a circle with center at the origin and radius $r$ is $x^2 + y^2 = r^2$. With $r = 4$, $r^2 = 16$, so the equation is $x^2 + y^2 - 16 = 0$.

Write the Equation of the Circle That Satisfies the Following