Question

What is the equation of this circle in standard form? O(x-2)² + (y - 3)² = 36 O(x + 2)² + (y + 3)² = 6 O(x-2)² + (y - 3)² = 6 O (x + 2)² + (y + 3)² = 36 -10-9-8 -6 -5 -2 10+ -8 10 94 -1 8+ 74 64 5 4 34 24 1+ -2+ 2 3 6 8 9 10​

Answer 1

The correct equation of the circle in standard form is (x - 2)² + (y - 3)² = 36, indicating a circle with center at (2, 3) and radius of 6.

Step-by-step explanation:

The equation of a circle in standard form is given by (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is the radius. Since the format of the question suggests the circle's center and radius are being looked for, let's examine the given equations and choose the correct one.

Looking at the given options, we can deduce that the only item that correctly represents a circle with a radius of 6 is the equation (x - 2)² + (y - 3)² = 36. This is because when the right side of the equation, 36, is square-rooted, it yields a radius r = 6. Additionally, the equation suggests the center of the circle is at (2, 3).