3
3
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 33
3
Radius=Diameter2\text{Radius} = \dfrac{\text{Diameter}}{\text{2}}
Radius=32\text{Radius} = \dfrac{3}{2}
Radius=1.5\text{Radius} = 1.5
1.5
To find the area of the circle, square the radius:
(1.5)2=2.25\left(1.5\right)^{2} = 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∗2.25\text{Area} = 3.14 * 2.25
Area=7.07\text{Area} = 7.07