Question

Please help with geometry

Answer 1

The answer to your question is Area = 50 u²

Explanation:

Data

Center = (-2, -6)

Point = (-2, -1)

Process

1.- Calculate the radius of the circle

dCP =
`\sqrt{(x2 - x1)^(2)+ (y2 - y1)^(2)}`

-Substitution

dCP =
`\sqrt{(-2 + 2)^(2)+ (-1 + 6)^(2)}`

dCP =
`\sqrt{(0)^(2)+ (5)^(2)}`

dCP =
`√(25)`

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