Answer:
The answer to your question is below
Step-by-step explanation:
Data
A (10, 8)
B (5, 4)
Process
1.- Find the length of the radius
d = [tex]\sqrt{(5 - 10)^{2} + (4 - 8)^{2}}[/tex]
d = [tex]\sqrt{5^{2} + 4^{2}}[/tex]
d = [tex]\sqrt{25 + 16} = \sqrt{41}[/tex]
radius = [tex]\sqrt{41} / 2[/tex]
2.- Find the center
Xm = [tex]\frac{10 + 5}{2}[/tex]
Xm = [tex]\frac{15}{2}[/tex]
Ym = [tex]\frac{8 + 4}{2}[/tex]
Ym = [tex]\frac{12}{2} = 6[/tex]
Center = (15/2 , 6)
3.- Write the equation of the circle
(x - 15/2)² + (y - 6)² = [tex]\frac{41}{4}[/tex]
