Find the equation of the circle with radius 7 and center (-15, 18) in standard form. A) (x + 15)² + (y - 18)² = 49 B) (x + 15)² + (y + 18)² = 49 C) (x + 15)² + (y - 18)² = 7 D) (x - 15)² + (y + 18)² = 49

Question

Quizplus · Accepted Answer

The standard form of a circle's equation is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center and $r$ is the radius. For a center at $(-15, 18)$ and radius $7$, the equation becomes $(x + 15)^2 + (y - 18)^2 = 7^2$, which simplifies to $(x + 15)^2 + (y - 18)^2 = 49$.

Find the Equation of the Circle with Radius 7 and Center