Question

Find the equation of the circle with center at (3 -2) and radius of 3.

Answer 1

(x - 3)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

• (h, k) is center
• r is radius

Explanation:

Step 1: Define

Center (3, -2)

• h = 3
• k = -2

Radius r = 3

Step 2: Write Equation

1. Substitute [EC]: (x - 3)² + (y + 2)² = 3²
2. Exponents: (x - 3)² + (y + 2)² = 9