n the diagram below, two concentric circles have radii of 9 and 5 units, respectively. What is the area of the shaded region? Round your answer to the nearest hundredth.
*Use 3.14 for pi.
To find the area of the shaded region, we first find the area of the larger circle and then subtract the area of the smaller circle.
Area of larger circle = πr^2
Area of larger circle = 3.14 * 9^2
Area of larger circle = 3.14 * 81
Area of larger circle = 254.34
Area of smaller circle = πr^2
Area of smaller circle = 3.14 * 5^2
Area of smaller circle = 3.14 * 25
Area of smaller circle = 78.5
Now we subtract the area of the smaller circle from the area of the larger circle to find the area of the shaded region.
Area of shaded region = 254.34 - 78.5
Area of shaded region = 175.84
Therefore, the area of the shaded region is approximately 175.84 units squared.