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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.


m²

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. m class=

Verified Answer :

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 m²

Answer:

The area of the shaded region is 13.76 m² .

Step-by-step explanation:

Formula

Area of the square = a²

\(Area\ of\ circle = \pi r^{2}\)

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

\(Radius = \frac{Diameter}{2}\)

\(Radius = \frac{8}{2}\)

                  = 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 .