Question

What is the equation of a circle with center (-3,-5) and radius 4?
O A. (x+3)2 + (y + 5)2 = 4
O B. (x-3)2 + (y- 5)2 = 16
O C. (x-3)2 + (y- 5)2 = 4
O D. (x+3)2 + (y + 5)2 = 16

Answer 1

Answer:

D. (x + 3)² + (y + 5)² = 16

General Formulas and Concepts:

Algebra I

• Coordinates (x, y)

Pre-Calculus

Center-Radius Form: (x - h)² + (y - k)² = r²

• (h, k) is the center
• r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

Center (h, k) = (-3, -5)

Radius r = 4

Step 2: Find Equation

1. Substitute in variables [Center-Radius Form]:                                                (x - -3)² + (y - -5)² = 4²
2. Simplify:                                                                                                             (x + 3)² + (y + 5)² = 16