The answer is 100.
<u>Step-by-step explanation</u>:
<u>Given</u>:
A circle is centered on the point(-1,5) and contains the point(7,11)
<u>To find</u>:
Area of a circle.
<u>Formula</u>:
(x – a)2 + (y – b)2 = r2
<u>Solution</u>:
D(A,B)=√ (xa − xb)2 + (ya − yb)2
D(A,B)=√ (7 + 1 )2 + (11− 5)2
D(A,B)=√ (8 )2 + (6)2
D(A,B)=√ 100
D(A,B)=10
Substituting in the above equation
(x + 1 )2 + (y – 5)2 = 100