SOLUTION: Find the equation of the circle that is tangent to the x-axis and the circle is at (-7,4).

Question 751118: Find the equation of the circle that is tangent to the x-axis and the circle is at (-7,4).
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the equation of the circle that is tangent to the x-axis and the circle is at (-7,4).
.
Plotting the center on graph, we can see that the distance between the center and the x-axis is 4. Therefore, the radius is 4.
.
Standard form of a circle is:
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) is the center and r is the radius
.
plug in our data:
(x-(-7))^2 + (y-4)^2 = 4^2
(x+7)^2 + (y-4)^2 = 16

RELATED QUESTIONS
Find the equation of a circle that is tangent the line x = -8 and is tangent to both... (answered by stanbon)

The circle is tangent to y-axis, and the center is at (5, 3). Find the equation of a... (answered by dkppathak)

Write an equation for the circle that is centered at (−4, 5) and tangent to the... (answered by MathLover1)

write the general equation of a circle that is tangent to the x-axis, with center located (answered by stanbon)

Write an equation of a circle that is tangent to the y-axis and has its center at... (answered by macston)

Find the equation of the circle if it is tangent to the line x+y=2 at point (4,-2) and... (answered by MathLover1)

Find the equation of the circle that passes through the point (9,7) and is tangent to... (answered by greenestamps)

find the equation of the circle that passes through the point (9 7) and is tangent to... (answered by Alan3354)

A circle is tangent to the x-axis at (-4,0) and the y-axis at (0,4). What is the equation (answered by lwsshak3)