Writing an equation of circle tangent to the x axis given the center

The video tutorial explains the standard form of a circle equation, focusing on determining the center and radius. It discusses how to find the point where the circle is tangent to the X-axis and explains the concept of tangency. The tutorial calculates the radius using the tangent point and presents the final circle equation, concluding the lesson.

What is the standard form equation of a circle with center at (-6, 5)?

• (x + 6)^2 + (y - 5)^2 = R^2

• (x - 6)^2 + (y + 5)^2 = R^2

• (x - 6)^2 + (y - 5)^2 = R^2

• (x + 6)^2 + (y + 5)^2 = R^2

How many points does a tangent line intersect a circle?

• Infinite points

• Three points

• One point

• Two points

If a circle is tangent to the X-axis, what can be said about its radius?

• The radius is equal to the distance from the center to the X-axis.

• The radius is equal to the distance from the center to the origin.

• The radius is equal to the X-coordinate of the center.

• The radius is equal to the Y-coordinate of the center.

What is the radius squared (R-squared) if the radius is 5?

• 10

• 20

• 25

• 15

What is the final equation of the circle if the radius is 5?

• (x - 6)^2 + (y + 5)^2 = 25

• (x - 6)^2 + (y - 5)^2 = 20

• (x + 6)^2 + (y - 5)^2 = 20

• (x + 6)^2 + (y - 5)^2 = 25