Final answer:
To find the area of a circle, use the formula A = π r^2 where r is the radius. Dividing the given diameter by 2 will give us the radius. Substitute the radius into the formula to find the area.
Step-by-step explanation:
To find the area of a circle, we need to know the radius or the diameter. In this case, we are given the diameter of the circle which is 2(4)/(5) m. To find the radius, we divide the diameter by 2, so the radius is (2(4)/(5))/2 = 4/5 m.
The formula for the area of a circle is A = π r^2, where π is approximately 3.14 and r is the radius of the circle. Substituting the given radius, we have A = 3.14 * (4/5)^2 = 3.14 * 16/25 = 3.14 * 0.64 = 2.0224 square meters.
Therefore, the area of the circle is approximately 2.0224 square meters.
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