Center at (4,5) , tangent to x axis
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The equation of a circle is:
(x−h)2+(y−k)2=r2
where (h,k) is the center point and r is the radius
Substitute the center point (4,5) into the standard form:
(x−4)2+(y−5)2=r2
Because the center is 2 units above the x axis and the circle is tangent to the x axis, the radius must be 2:
(x−4)2+(y−5)2=52
The equation of a circle with a center at
and radius, 
, is given by 
.
Here, the center is at (4, 5) so
and 
. Since the circle is tangent to the 
-axis, the radius is the length from the center (4, 5) to the 
-axis, which is 5. Thus, 
.
Therefore, the required equation is
.