Respuesta :

Space

Answer:

64π

General Formulas and Concepts:

Geometry

Area of a Circle Formula: A = πr²

  • r is radius

Pre-Calculus

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

  • (h, k) is center
  • r is radius

Step-by-step explanation:

Step 1: Define

Identify

(x - 9)² + (y - 3)² = 64

↓ Compare to Center-Radius Form

Center (9, 3)

Radius² = 64

Step 2: Find Area

  1. Substitute in variables [Area of a Circle Formula]:                                         A = π(64)
  2. Multiply:                                                                                                             A = 64π

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