# SOLUTION: find the equation of the circle of smallest radius that contains the points (1,4) and (-3,2) within or on its boundary?

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 Question 226045: find the equation of the circle of smallest radius that contains the points (1,4) and (-3,2) within or on its boundary? Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!find the equation of the circle of smallest radius that contains the points (1,4) and (-3,2) within or on its boundary? --------------- The smallest circle thru 2 points will have the 2 points diametrically opposite. The diameter will be the distance between the points, and the center will be the midpoint. Midpoint: find the average of x and y separately x: (1-3)/2 = -1 y: (4+2)/2 = 3 Center of circle at (-1,3) ---------------- The radius is the distance from the center to either point. r^2 = diffy^2 + diffx^2 r^2 = 1 + 4 = 5 Standard form for a circle centered at (h,k) with radius r is: (x-h)^2 + (y-k)^2 = r^2 (x+1)^2 + (y-3)^2 = 5