Answer:
The answer to your question is Area = 50 u²
Step-by-step explanation:
Data
Center = (-2, -6)
Point = (-2, -1)
Process
1.- Calculate the radius of the circle
dCP = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
-Substitution
dCP = [tex]\sqrt{(-2 + 2)^{2}+ (-1 + 6)^{2}}[/tex]
dCP = [tex]\sqrt{(0)^{2}+ (5)^{2}}[/tex]
dCP = [tex]\sqrt{25}[/tex]
dCP = 5
2.- Calculate the area of the circle (this step is not necessary)
Area = πr²
π = 3.14
-Substitution
Area = (3.14)(5)²
-Simplification
Area = 78.5 u²
3.- Calculate the diagonal of the square
diagonal = 2 radius
diagonal = 2(5)
diagonal = 10 u
4.- Calculate the length of the sides of the square (Pythagorean theorem)
10² = 2x²
100 = 2x²
100/2 = x²
50 = x²
x = √50
5.- Calculate the area of the square
Area = (√50)(√50)
Area = 50 u²
