The answer is 100.
Step-by-step explanation:
Given:
A circle is centered on the point(-1,5) and contains the point(7,11)
To find:
Area of a circle.
Formula:
(x – a)2 + (y – b)2 = r2
Solution:
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
