11
11
The formula for the area of a circle is:
Area=π∗(Radius)2\text{Area} = \pi * \text{(Radius)}^{2}
The radius is the distance from the center of the circle to the edge:
radius
In this problem we have been given the diameter of the circle. The diameter is the distance from one edge of the circle to the opposite edge:
diameter
The diameter of a circle is always twice as long as the radius
In this problem, the diameter of the circle is 1111
11
Radius=Diameter2\text{Radius} = \dfrac{\text{Diameter}}{\text{2}}
Radius=112\text{Radius} = \dfrac{11}{2}
Radius=5.5\text{Radius} = 5.5
5.5
To find the area of the circle, square the radius:
(5.5)2=30.25\left(5.5\right)^{2} = 30.25
Now multiply by π\pi. The number π\pi is approximately equal to 3.14.
Area=π∗(Radius)2\text{Area} = \pi * \text{(Radius)}^{2}
Area=3.14∗30.25\text{Area} = 3.14 * 30.25
Area=94.99\text{Area} = 94.99