Question

15. What is the area of the circle whose equation is (X - 9)2 + (y - 3)2 = 64?

Answer 1

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