2%2B(y-6)2%3D81-center-and-radius.jpeg "(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