SOLUTION: Hi. I'm having trouble figuring out this problem here. Find an equation of the circle that satisfies the given conditions. Center (-3, 4); passes through (10, 4)

Discussion





The equation for a circle with center (h,k) and radius r is:











The distance between the center of a circle and any point on the circle is

the measure of the radius.  To calculate the distance between two points, use

the distance formula:













Solution





You are given the center of the circle as (-3,4) so we know that

h=-3 and 

k=4



The circle radius is the distance from (-3,4) to (10, 4).  In this case, you

don't actually have to use the distance formula because the y-coordinates of

the two points are equal and the distance formula degenerates to the square

root of the square of the difference in the x-coordinates.  In other words,

the distance is found by the absolute value of the difference in the

x-coordinates.











Now we have sufficient information to write the desired equation:











You can simplify and put the equation in standard form, if you like, but unless

instructed to do so, I wouldn't go to all that effort.