Center (5,-6),Tangent To The X-Axis?

Center (5,-6),tangent to the x-axis?

 

Answer:

(x - 5)² + (y + 6)² = 36

Center (h, k) = (5, -6)

Radius = 6

Step-by-step explanation:

Center (h, k) = (5, -6)

Radius = 6 units.

How to find the radius if the circle is tangent to the x-axis?

  • From the x-axis x-coordinate  5, count 6 units parallel to y-axis towards the center of the circle.

Equation of circle in center-radius standard form:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - (-6))² = 6²

(x - 5)² + (y + 6)² = 36

To visualize the circle, please click the image below.


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