Question

Find the area of the shaded region. Round your answer to the nearest tenth.

Answer 1

Answer:

Area= about 17 m²

Step-by-step explanation:

We are given a square of length 9 m

Inside the circle we are given 4 quarter circles at the four corners

Radius of circle= 9/2 m=4.5 m

Shaded area= area of square-area of 4 quarter circles

                   = area of square- area of a circle  

   (since 4 times of a quarter equals 1)

                   =  9×9- π×4.5×4.5

                  = 81-63.585

                  = 17.415 m²

Area: about 17 m²

Answer 2

This picture is a square and inside the square we can see 4 piece of a circle.
The area of a  piece of a circle=1/4 (area of a circle with radius = 9 m/2=4.5 m)
Therefore:
the area of a 4 piece of a circle=area of a circle with radius=4.5 m).

Area of the shaded region=area of the square -area of a circle.

1) we compute the area of the square:
area of a square=side²

Data:
side=9 cm
Area of this square=(9 m)²=81 m².

2) we compute the area of a circle with 4.5 m of radius.


area of a circle=πr²
area of this circle=π(4.5 m)²=20.25π m²

3) we calculate the area of the shaded region:
area of the shaded region=area of the square - area of the circle
area of the shaded region=81 m²-20.25π m²≈17.38 m²


Area= about 17.38 m²