10
10
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 1010
10
Radius=Diameter2\text{Radius} = \dfrac{\text{Diameter}}{\text{2}}
Radius=102\text{Radius} = \dfrac{10}{2}
Radius=5\text{Radius} = 5
5
To find the area of the circle, square the radius:
52=255^{2} = 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∗25\text{Area} = 3.14 * 25
Area=78.5\text{Area} = 78.5