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A circle has a radius of 3.4 meters. What is the area of the circle?

A. [tex]21.4 \, \text{m}^2[/tex]
B. 21.4 m
C. [tex]36.3 \, \text{m}^2[/tex]
D. 36.3 m

Answer :

To find the area of a circle, we can use the formula:

[tex]\[ \text{Area} = \pi r^2 \][/tex]

where [tex]\( r \)[/tex] is the radius of the circle.

For this problem, the radius is given as 3.4 meters. Let's calculate the area step-by-step:

1. Identify the radius: The radius of the circle is 3.4 meters.

2. Square the radius:
[tex]\[ r^2 = (3.4)^2 = 11.56 \text{ square meters} \][/tex]

3. Use [tex]\(\pi\)[/tex] (pi) approximately as 3.1416 to calculate the area:
[tex]\[ \text{Area} = \pi \times r^2 = 3.1416 \times 11.56 \][/tex]

4. Calculate the area:
[tex]\[ \text{Area} \approx 36.3168 \text{ square meters} \][/tex]

So, the area of the circle is approximately [tex]\( 36.3 \, m^2 \)[/tex].

The correct answer is [tex]\( 36.3 \, m^2 \)[/tex].

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Rewritten by : Barada