Answer:
1, (5.5, 4)
2. r = 2.5
3. [tex](x-5.5)^{2}+(y-4)^{2}=6.25[/tex]
Step-by-step explanation:
1. To find the center of the a circle with points (3,4) and (8,4), you can connect those and see that they create the diameter. To find the center, just use a midpoint formula. [ (3+8)/2 , (4+4)/2 ] = (11/2 , 4) or (5.5,4)
2. The radius is half the length of the diameter. Since the diameter is based on the horizontal length, just subtract the x-values. So 8-3 = 5. Diameter = 5, so the Radius is half of that. r = 5/2 = 2.5
3. The standard for of a circle is [tex](x-h)^{2}+(y=k)^{2}=r^{2}[/tex] where (h,k) is your center and r is your radius. So just plug those in.