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(x+1)2+(y-2)2=9 Center And Radius

2 min read Jun 16, 2024
(x+1)2+(y-2)2=9 Center And Radius

Understanding the Equation: (x + 1)² + (y - 2)² = 9

This equation represents a circle in the standard form of the circle equation:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) is the center of the circle
  • r is the radius of the circle

Let's break down our equation:

  • (x + 1)²: This indicates that the x-coordinate of the center is -1 (since it's written as x + 1, the value of h is -1).
  • (y - 2)²: This indicates that the y-coordinate of the center is 2 (since it's written as y - 2, the value of k is 2).
  • 9: This represents the square of the radius, so the radius is the square root of 9, which is 3.

Therefore:

  • Center of the circle: (-1, 2)
  • Radius of the circle: 3

This information allows us to visualize and plot the circle on a coordinate plane. The center of the circle would be located at the point (-1, 2), and all points on the circle would be exactly 3 units away from this center point.

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