A circle is inside a square as shown.

What is the area of the shaded region?

Use 3.14 for π .

Enter your answer as a decimal in the box.



A circle is inside a square as shown What is the area of the shaded region Use 314 for π Enter your answer as a decimal in the box m class=

Respuesta :

8x8 = 64 (area of square)
3.14 x 4^2 = 3.14 x 16  = 50.24

64 - 50.24 = 13.76

answer: area of the shaded region is 13.76 

Answer:

The area of the shaded region is 13.76 m² .

Step-by-step explanation:

Formula

Area of the square = a²

[tex]Area\ of\ circle = \pi r^{2}[/tex]

Where a is the side of the square and r is the radius of the circle .

[tex]Radius = \frac{Diameter}{2}[/tex]

[tex]Radius = \frac{8}{2}[/tex]

                  = 4m

π = 3.14

Thus

Shaded area = Area of the square - Area of the circle

Putting all the values in the formula

Shaded area = 8² - 3.14 × 4 × 4

                      = 64 - 50.24

                      = 13.76 m²

Therefore the area of the shaded region is 13.76 m² .