Subjects algebra

Circle Equation 7Fceaa

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to write the equation of a circle in standard form given its center and radius. 2. **Recall the standard form of a circle's equation:** $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $(h, k)$ is the center and $r$ is the radius. 3. **Identify the given values:** Center: $(-3, -2)$ Radius: $3$ 4. **Substitute the values into the formula:** $$ (x - (-3))^2 + (y - (-2))^2 = 3^2 $$ which simplifies to $$ (x + 3)^2 + (y + 2)^2 = 9 $$ 5. **Final answer:** The equation of the circle in standard form is $$ (x + 3)^2 + (y + 2)^2 = 9 $$