8
8
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 88
8
Radius=Diameter2\text{Radius} = \dfrac{\text{Diameter}}{\text{2}}
Radius=82\text{Radius} = \dfrac{8}{2}
Radius=4\text{Radius} = 4
4
To find the area of the circle, square the radius:
42=164^{2} = 16
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∗16\text{Area} = 3.14 * 16
Area=50.24\text{Area} = 50.24