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(x-5)2+(y-6)2=81 Center And Radius

less than a minute read Jun 17, 2024
(x-5)2+(y-6)2=81 Center And Radius

Understanding the Equation: (x-5)² + (y-6)² = 81

The equation (x-5)² + (y-6)² = 81 represents a circle in the standard form of the circle equation:

** (x - h)² + (y - k)² = r² **

Where:

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

Finding the Center and Radius

Let's extract the information from the given equation:

  • (h, k) = (5, 6) This tells us the center of the circle is located at the point (5, 6).

  • r² = 81 To find the radius, we take the square root of both sides: r = √81 = 9. This means the radius of the circle is 9 units.

Summary

Therefore, the equation (x-5)² + (y-6)² = 81 represents a circle with:

  • Center: (5, 6)
  • Radius: 9 units

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