Find the approximate area of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for PI. The diamater of the circle is 20ft
A. 86
B. 214
C. 854
D. 314
The area of the shaded region can be found by subtracting the area of the circle from the area of the square.
First, we find the radius of the circle by dividing the diameter by 2:
Radius = 20ft / 2 = 10ft
The area of the circle is:
Area = πr^2
Area = 3.14 x 10^2
Area = 3.14 x 100
Area = 314 ft^2
Next, we find the area of the square which is length x width:
Area = 20ft x 20ft = 400 ft^2
Now, we subtract the area of the circle from the area of the square to get the shaded area:
Shaded area = 400 ft^2 - 314 ft^2 = 86 ft^2
Therefore, the approximate area of the shaded region is A. 86.