Respuesta :

the area of the full square is 144m^2
the diameter of the circle is 12m so the radius is 6m
[tex]6 \times 6 \times 3.14 = 113.1[/tex]
the area of the circle is 113.1m^2
[tex]144 - 113.1 = 30.9[/tex]

the area of the shaded region is 30.9m^2
To find the blue area: Blue= Area of the square - Area of the circle

Step 1: find area of the square
Area of a square= length × width
A= 12×12
A= 144 units²

Step 2: find Area of the circle
The diameter of the circle = 12 meters
Diameter= 2r
12m=2r
r=6meters

Area of a circle= πr²
A=  πr²
A= π (6²)
A= 36π meters² ≈ 113.1 meters²

Final Step find the difference in Areas:

Blue= Area of the square(AS) - Area of the circle(AC)
AS= 144 m²
AC= 113.1m²
Blue= 144 m² - 113.1 m²= 30.90 meters² ≈ 31 meters²


Final Answer:
31 square meters

Ver imagen wuzzleluver