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Answer :
To find the area of a circle, we use the formula
[tex]$$
A = \pi r^2,
$$[/tex]
where [tex]$r$[/tex] is the radius. In this problem, the radius is given as [tex]$r = 3.4$[/tex] meters.
1. First, we calculate the square of the radius:
[tex]$$
r^2 = (3.4)^2 = 11.56.
$$[/tex]
2. Next, we substitute [tex]$r^2$[/tex] into the area formula:
[tex]$$
A = \pi \times 11.56.
$$[/tex]
3. Multiplying by [tex]$\pi$[/tex] gives approximately
[tex]$$
A \approx 36.3168 \text{ m}^2.
$$[/tex]
4. Rounding to one decimal place, the area of the circle is approximately
[tex]$$
A \approx 36.3 \text{ m}^2.
$$[/tex]
Thus, the area of the circle is
[tex]$$\boxed{36.3 \text{ m}^2}.$$[/tex]
[tex]$$
A = \pi r^2,
$$[/tex]
where [tex]$r$[/tex] is the radius. In this problem, the radius is given as [tex]$r = 3.4$[/tex] meters.
1. First, we calculate the square of the radius:
[tex]$$
r^2 = (3.4)^2 = 11.56.
$$[/tex]
2. Next, we substitute [tex]$r^2$[/tex] into the area formula:
[tex]$$
A = \pi \times 11.56.
$$[/tex]
3. Multiplying by [tex]$\pi$[/tex] gives approximately
[tex]$$
A \approx 36.3168 \text{ m}^2.
$$[/tex]
4. Rounding to one decimal place, the area of the circle is approximately
[tex]$$
A \approx 36.3 \text{ m}^2.
$$[/tex]
Thus, the area of the circle is
[tex]$$\boxed{36.3 \text{ m}^2}.$$[/tex]
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