What is the area of the blue shaded figure if A=28
cm and B=14
cm?
Use 3.14
to approximate π
.
To find the area of the blue shaded figure, we need to calculate the area of the larger circle and subtract the area of the smaller circle.
The formula to calculate the area of a circle is given by A = πr^2, where A is the area and r is the radius of the circle.
Since we are given that A = 28 cm, we can set up the equation as:
28 = π(R^2)
Solving for R, the radius of the larger circle, we get:
R^2 = 28/π
R^2 ≈ 8.92
R ≈ √(8.92)
R ≈ 2.987
Next, we need to find the radius of the smaller circle. Since B = 14 cm and the smaller circle is inside the larger circle, the diameter of the smaller circle is equal to the radius of the larger circle.
Therefore, the radius of the smaller circle is 2.987 cm.
Now, to find the area of the blue shaded figure, we can calculate the area of the larger circle and subtract the area of the smaller circle:
Area of larger circle = πR^2
≈ 3.14 * (2.987)^2
≈ 28.053 cm^2
Area of smaller circle = πr^2
≈ 3.14 * (2.987)^2
≈ 28.053 cm^2
Area of blue shaded figure = Area of larger circle - Area of smaller circle
= 28.053 cm^2 - 28.053 cm^2
= 0 cm^2
Therefore, the area of the blue shaded figure is 0 cm^2.