Question

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

Answer 1

Answer:

9.76m²

Step-by-step explanation:

The area of the square is

$Area = {s}^{2}$

where s=8m is the side length.

This means that:

$Area = {8}^{2} = 64 {m}^{2}$

The area of a circle is

$Area = \pi \: {r}^{2}$

From the diagram, the diameter is 8m.

This means that the radius is

$r = \frac{8}{2} = 4m$

The area of the circle then becomes,

$Area =3.14\: \times {4}^{2} = 3.14 \times 16$

$Area = 50.24 {m}^{2}$

The area of shaded region is area of square minus area of circle.

$Area \: of \: shaded \: region = 64 - 50.24 = 9.76 {m}^{2}$

Answer 2

Answer:

answer: area of the shaded region is 13.76 m2

Step-by-step explanation:

8x8 = 64 (area of square)

3.14 x 4^2 = 3.14 x 16  = 50.24

64 - 50.24 = 13.76

have a wonderful day.