A shaded circle has a diameter of 12 feet. Within the circle, is another white circle with a radius of 2 feet. What is the area of the shaded circle.
According to your wording, the area of the shaded circle is 36π ft^2
The small circle has an area of 4π ft^2
if you want the area of the shaded circle minus the smaller circle is would simply be 32π ft^2
To find the area of the shaded circle, we need to know the radius of the shaded circle. Given that the shaded circle has a diameter of 12 feet, we can find the radius by dividing the diameter by 2.
Radius = Diameter / 2 = 12 feet / 2 = 6 feet
Now that we know the radius of the shaded circle is 6 feet, we can calculate its area using the formula for the area of a circle:
Area = π * Radius^2
Substituting the value of the radius, we get:
Area = π * 6 feet^2
Now, the value of π is approximately 3.14159. Plugging in this value, we get:
Area = 3.14159 * 6 feet^2
Performing the calculation, we get:
Area = 3.14159 * 36 square feet
So, the area of the shaded circle is approximately 113.097 square feet.