Answer:
The answer to your question is the letter D. (x - 11)² + (y - 6)² = 72
Step-by-step explanation:
Data
Equation = ?
Center = (11, 6)
Point = (17, 12)
Process
1.- Calculate the length of the radius using the distance between two points formula.
d = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
x1 = 11 y1 = 6
x2 = 17 y2 = 12
-Substitution
d = [tex]\sqrt{(17 - 11)^{2}+ (12 - 6)^{2}}[/tex]
d = [tex]\sqrt{6^{2} + 6^{2}}[/tex]
d = [tex]\sqrt{36 + 36}[/tex]
d = [tex]\sqrt{72}[/tex]
radius = [tex]\sqrt{72}[/tex]
2.- Write the equation of the formula
(x - 11)² + (y - 6)² = ([tex]\sqrt{72}[/tex])²
Result
(x - 11)² + (y - 6)² = 72
