Question

X^2+ (y + 3)^2 = 81

Center:

Area:

Answer 1

General equation

• (x-h)²+(y-k)²=r²

So

• (x-0)²+(y+3)²=81
• (x-0)²+(y+3)=9²

Radius=9

• Center=(0,-3)

Area

• πr²
• 81π units²

Answer 2

Center: 254.5

Area: 254.5

Step-by-step explanation:

• Equation: x² + (y + 3)² = 81

Circle formula:

• (x - h)² + (y - k)² = r²

where (h, k) is the center points, r is radius

Rewriting the equation:

• (x -0) ² + (y - (-3))² = 9²

Identify the following:

• (h, k) = (0, -3), radius: 9

Area of Circle:

• π(radius)² = π(9)² = 81π = 254.46 = 254.5