A circle is entered on the point (-1,5) and contains the point (7,11). What is the area of this circle?

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

answer: .75 km

step-by-step explanation: