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: area of the shaded region is 13.76 m2

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.

Answer 2

9.76m²

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 = (8)/(2) = 4m`

The area of the circle then becomes,

`Area =3.14\: * {4}^(2) = 3.14 * 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)`