4
4
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 44
4
Radius=Diameter2\text{Radius} = \dfrac{\text{Diameter}}{\text{2}}
Radius=42\text{Radius} = \dfrac{4}{2}
Radius=2\text{Radius} = 2
2
To find the area of the circle, square the radius:
22=42^{2} = 4
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∗4\text{Area} = 3.14 * 4
Area=12.56\text{Area} = 12.56