Find the area of the blue shaded region.
Use 3.14
to approximate π
. Round your answer to the nearest hundredth.
A rectangle with length 40 centimeters and width 25 centimeters. A circle with radius 8 centimeters is cut out of the center. The rectangle = a rectangle with length 40 centimeters and width 25 centimeters minus a circle with radius 8 centimeters. L times w minus pi r squared.
The area of the rectangle is given by its length multiplied by its width: 40 cm * 25 cm = 1000 cm².
The area of the circle is given by the formula A = πr², where r is the radius. Substituting the given radius of 8 cm, we have A = 3.14 * (8 cm)² ≈ 201.06 cm².
To find the area of the blue shaded region, we subtract the area of the circle from the area of the rectangle: 1000 cm² - 201.06 cm² ≈ 798.94 cm².
Therefore, the area of the blue shaded region is approximately 798.94 cm².