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

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 2

The area of the shaded region is 13.76 m² .

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 = (Diameter)/(2)`

`Radius = (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 .