1
1
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 11
1
Radius=Diameter2\text{Radius} = \dfrac{\text{Diameter}}{\text{2}}
Radius=12\text{Radius} = \dfrac{1}{2}
Radius=0.5\text{Radius} = 0.5
0.5
To find the area of the circle, square the radius:
(0.5)2=0.25\left(0.5\right)^{2} = 0.25
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∗0.25\text{Area} = 3.14 * 0.25
Area=0.79\text{Area} = 0.79